Proportion Solver
Executive Summary
Proportions state that two ratios are equal. The proportion solver isolates and calculates an unknown value (x) in the equation a/b = c/d.
Key Takeaways
- equal ratios: A proportion is a statement that two ratios are equal: a/b = c/d.
- unknown variable: When one of the four variables is unknown, cross-multiplication solves the equation.
- cross multiplication: Multiplies numerator by opposite denominator: ad = bc to isolate x.
Formula
a / b = c / d
Proportion Equation Solver
Variable Glossary
| Symbol | Meaning & Description |
|---|---|
| a/b = c/d | The proportion equation where one of the values is unknown x |
Step-by-Step Worked Example
1. Mapped Variables
Value a
3
Value b
4
Value c
6
Value d
x
2. Equation Substitution
Equation with standard inputs
3 / 4 = 6 / x
3. Calculation Steps
Step 1: Locate the unknown variable x
Equation containing x: 3/4 = 6/x
Step 2: Cross-multiply the fractions
Multiply numerator by opposite denominator to isolate x.
Step 3: Solve arithmetic equation
x = 8.0000
Final Resolved Solved Proportion (x)8.0000
Live Simulation
Proportion Solver Sandbox
Tweak variables below to see the formula calculate instantly.
Calculating...
Common Mistakes to Avoid
Incorrect Alignment: Setting up cross-multiplication with misaligned variables (e.g., comparing miles/hours to hours/miles) will yield incorrect values. Always align units across fractions.
Frequently Asked Questions
Interactive Tool
Proportion Solver
Solve for missing proportion variables (x) using cross-multiplication.