Ratio Calculator - calculatorsee.com


Ratio Calculator

Simplify ratios to lowest terms or solve for the missing unknown variable (x) in proportional equations A:B = C:D.

Calculator Inputs

First ratio numerator.
First ratio denominator.
Second ratio numerator.
Enter 0 or leave blank to solve for D.

Calculated Results

Solved Unknown Value (x)
x = 30.00
Simplified Ratio 2 : 3
Scale Factor 1.50
Percentage Proportion 40% : 60%
Values calculate live as you adjust inputs.

About Ratio Calculator

A ratio compares the relative magnitudes of two or more quantities, establishing equivalence between proportions (A / B = C / D).

What is Ratio Calculator?

A ratio compares the relative magnitudes of two or more quantities, establishing equivalence between proportions (A / B = C / D).

How to Use This Calculator

  1. Enter known ratio terms.
  2. Leave variable D blank or set to 0 to solve for x.
  3. Review the cross-multiplication solution and reduced simplest terms.

The Mathematical Formula & Variables

D = (B * C) / A

Variables Definition

Symbol / Variable Name Description
Cross-Multiplication Proportional Rule A * D = B * C.

Step-by-Step Worked Example

Scenario: Solve 4 : 6 = 20 : x.

  1. Cross-multiply: 4 * x = 6 * 20.
  2. 4x = 120.
  3. Divide by 4: x = 30.

Result: x = 30

Frequently Asked Questions

How do you simplify a ratio to lowest terms?

Divide both parts of the ratio by their Greatest Common Factor (GCF). For 4:6, the GCF is 2, producing the simplified ratio 2:3.