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Ratio Calculator - Solve Proportions A:B = C:D
Free online ratio calculator. Solve for unknown proportion variables in A:B = C:D, simplify ratios, and scale dimensions.
Inputs
🔒 Local ProcessingSolved Value D
12.00
Balanced RatioProportion Equation4 : 3 = 16 : 12.00
Ratio Multiplier4.00
How to Use This Calculator
- Enter values A, B, and C to solve for missing value D in the proportion.
Formula & Mathematical Method
Cross-multiplication principle for equivalent ratios.
A / B = C / D => D = (B × C) / AExplanation of Variables
| Symbol | Variable Name | Description & Role in Calculation |
|---|---|---|
| A, B | Reference Ratio | Base proportionality relationship. |
| C, D | Target Ratio | Scaled proportionality pair. |
Worked Calculation Examples
Aspect Ratio 4:3 scaled to width 16
Scenario: 4:3 = 16:D
D = (3 × 16) / 4 = 12.
Interpretation of Results
Review your calculated mathematical output alongside step-by-step arithmetic deductions. The result reflects pure algebraic evaluation of your input values.
Calculated Value
The exact numerical result of the mathematical operation or formula.
Key Context: Verify your input figures to ensure accurate computation.
Practical Use Cases
Daily Problem-Solving & Verification
Perform fast, reliable calculations for everyday mathematical, consumer, or educational tasks without manual errors.
Analytical Modeling
Model numerical relationships, ratios, and projections directly in your browser.
Limitations & Key Assumptions
- Calculations assume ideal arithmetic conditions and exact input values.
- Results are computed using standard IEEE 754 precision; discrete rounding may be applied for readability.
Frequently Asked Questions
Where are ratios used?
Ratios are widely used in screen resolutions, photography aspect ratios, baking recipes, and scale modeling.
Related Calculators & Tools
Authoritative References & Standards
Quantities and Units — Mathematical Signs and Symbols
International Organization for Standardization (ISO) • ISO 80000-2:2019