Proportional Scaling Ratio Calculator

Calculate the scaled dimension of an object while maintaining its proportions. Input the original and scaled dimensions of one quantity (e.g., width) and the original dimension of another (e.g., height) to find the scaled dimension, scale factor, and proportional ratios.

Input Dimensions

Standard
Step by Step
Chart View

Result

Detailed Steps

Visual Representation

Formulas

Proportional Scaling

The proportion is maintained as:

a / b = c / d

Where:

  • a = Original dimension (e.g., width)
  • b = Scaled dimension (e.g., scaled width)
  • c = Original target dimension (e.g., height)
  • d = Scaled target dimension (e.g., scaled height)

Scale factor:

Scale Factor = b / a

Scaled target dimension:

d = c × (b / a)

Proportional ratio:

a : b = c : d

How to Use the Proportional Scaling Ratio Calculator

  1. Enter the original dimension (e.g., original width of an object).
  2. Enter the scaled dimension (e.g., desired scaled width).
  3. Enter the original target dimension (e.g., original height).
  4. Optionally, adjust the precision level for decimal calculations (default is 5).
  5. Choose your preferred display mode (Standard, Step by Step, or Chart).
  6. Click the “Calculate” button.
  7. View the scaled target dimension, scale factor, and proportional ratios.

Frequently Asked Questions (FAQs)

What is proportional scaling?

Proportional scaling involves resizing an object by multiplying all linear dimensions by the same scale factor, preserving the object’s proportions (ratios of dimensions).

What is a scale factor?

The scale factor is the ratio of the scaled dimension to the original dimension (b/a). It determines how much larger or smaller the scaled object is compared to the original.

Can I use this for non-linear dimensions?

No, this calculator is designed for linear dimensions (e.g., length, width, height). For area or volume, the scale factor is squared or cubed, respectively.

What if the original dimension is zero?

An original dimension of zero is invalid, as it would lead to undefined scaling. All inputs must be positive numbers.

How accurate is this calculator?

The calculator provides accurate results based on the input precision (up to 10 decimal places) and uses exact ratio calculations to maintain proportions.