math arithmetic

Ratio & Proportion Calculator (A:B = C:D)

Essential tool for proportions, scaling, recipes, and geometry. Solves missing values using cross-multiplication (A × D = B × C) and simplifies ratios.

Input Parameters

Term A

Term B

Term C

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Proportion Equation: A / B = C / D => D = (B * C) / A or C = (A * D) / B. Simplified via GCD(A, B).

In-Depth Guide & Mathematical Methodology

📐 Understanding Ratios & Proportions

Ratio (A:B): Compares two quantities showing how much of one is contained in the other.

Proportion (A:B = C:D): States that two ratios are equal.

Cross-Multiplication: A × D = B × C is the fundamental law of proportions.

Frequently Asked Questions (FAQ)

What is the Ratio & Proportion Calculator (A:B = C:D) and how does it work?

Essential tool for proportions, scaling, recipes, and geometry. Solves missing values using cross-multiplication (A × D = B × C) and simplifies ratios.

How do I use this Ratio & Proportion Calculator (A:B = C:D)?

Enter known values A and B to set the initial ratio (A : B). Enter known value C or D to solve for the missing term. View calculated missing term, scaling factor, and simplified ratio.

What mathematical formula is used in this calculation?

Proportion Equation: A / B = C / D => D = (B * C) / A or C = (A * D) / B. Simplified via GCD(A, B).

Is the Ratio & Proportion Calculator (A:B = C:D) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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