Ratio & Proportion Solver (A : B = C : X)

Solve missing fourth proportional X = (B × C) / A and simplify ratios.

Solved Proportional Value (X)
1,080
Unit Ratio (A / B) 1.778
Simplified Ratio A 16
Simplified Ratio B 9
Inputs
First antecedent term A.
First consequent term B.
Second antecedent term C (solves for matching X).
Results & Graph
Solved Proportional Value (X)
1,080
Unit Ratio (A / B)
1.778
Simplified Ratio A
16
Simplified Ratio B
9

Solved Proportional Value (X)

Graph 1 • Term A Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 1.2k 2.3k 50%: 2,160 2.2k 50% 75%: 1,440 1.4k 75% 100%: 1,080 1.1k 100% 125%: 864 864 125% 150%: 720 720 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Solved Proportional Value (X) 1,080 Unit Ratio (A / B) 1.778 Simplified Ratio A 16 Simplified Ratio B 9
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Solved Proportional Value (X)1,080Unit Ratio (A / B)1.778Simplified Ratio A16Simplified Ratio B9
Summary: In 16 : 9 = 1920 : X, cross-multiplication yields X = 1080 (unit ratio 1.7778 : 1).
Summary: In 16 : 9 = 1920 : X, cross-multiplication yields X = 1080 (unit ratio 1.7778 : 1).

Formula & Mathematical Methodology: Ratio & Proportion Mathematical Identity

A / B = C / X ⇒ X = (B × C) / A
A / B = C / X ⇒ X = (B × C) / A
  • termA: Term A (numeric parameter)
  • termB: Term B (numeric parameter)
  • termC: Term C (numeric parameter)

Rounding: All calculations run in double-precision IEEE-754 arithmetic; displayed outputs round to up to 4 decimal places.

Worked Example: Worked Mathematical Verification: Ratio & Proportion

Solve missing fourth proportional X = (B × C) / A and simplify ratios.

  1. Verify the domain constraints of the input parameters.
  2. Apply the governing mathematical identity: A / B = C / X ⇒ X = (B × C) / A.
  3. Cross-check the primary value against the supporting invariants and coordinate graph.
Result: Evaluates Ratio & Proportion via A / B = C / X ⇒ X = (B × C) / A.

Frequently Asked Questions

What mathematical formula does the Ratio & Proportion Solver (A : B = C : X) use?

It directly evaluates A / B = C / X ⇒ X = (B × C) / A in double-precision floating-point arithmetic and updates all supporting invariants and graphs live.

How can I compare different parameter sets?

Click Compare in the results toolbar to pin up to three parameter combinations side by side.

Can I export the mathematical report or share a link?

Yes. Use the Share Link, Copy Summary, or Markdown/JSON export buttons in the results panel.

Mathematics & Statistics • Algebra & Equations Guide

How to Use the Ratio & Proportion Solver (A : B = C : X): Practical Guide & Visual Analysis

Solve the direct proportion A : B = C : X by cross-multiplication, reduce A : B to simplest integer ratio, and normalize to unit ratios. Includes textbook mathematical notation, step-by-step verification, and three custom SVG visualizations. Whether you are researching ratio & proportion solver (a : b = c : x), ratio & proportion, ratio proportion cross multiplication, algebra & equations calculator, this interactive tool helps you solve the direct proportion A : B = C : X by cross-multiplication, reduce A : B to simplest integer ratio, and normalize to unit ratios.

Interpreting the 3 Custom Visual Graphs & Key Outputs

As you adjust Term A, Term B, Term C, the calculator immediately computes Primary exact or numerical solution, Supporting identities & invariants, 3-Panel mathematical SVG plots and updates all three domain-specific SVG charts in real time. Instead of relying on a single static figure, you can inspect the primary domain diagram, component breakdown, and multi-point trajectory curve to see how changing your inputs shifts the final result. Use the Compare (up to 3 scenarios) button to evaluate side-by-side variations before making a decision.

Real-World Benchmark & Planning Tips (Universal Mathematical & Statistical Standard (ISO 80000-2))

In our benchmark scenario (Worked Mathematical Verification: Ratio & Proportion), Evaluates Ratio & Proportion via A / B = C / X ⇒ X = (B × C) / A. Keep in mind that uses standard Euclidean geometry, real/complex algebra, and NIST statistical definitions. For related calculations in Mathematics & Statistics, explore Scientific Calculator, Statistics & Standard Deviation Calculator, Geometry Calculator (Right Triangle, Circle & Cylinder).