Home / 1,535.16-2,118.30-905.78

Finding the Fourth Proportional to 1,535.16, 2,118.30 and 905.78

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Solution

The fourth proportional to 1,535.16, 2,118.30 and 905.78 is: 1,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.16 : 2,118.30 = 905.78 : x
  2. Step 2: Convert to fraction form
    1,535.16/2,118.30 = 905.78/x
  3. Step 3: Cross multiply
    1,535.16x = 2,118.30 × 905.78
  4. Step 4: Simplify right side
    1,535.16x = 1,918,713.77
  5. Step 5: Solve for x
    x = 1,918,713.77/1,535.16
  6. Step 6: Final answer
    x = 1,249.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.