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Finding the Fourth Proportional to 54,689.52, 75,471.56 and 29,539

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Solution

The fourth proportional to 54,689.52, 75,471.56 and 29,539 is: 40,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.52 : 75,471.56 = 29,539 : x
  2. Step 2: Convert to fraction form
    54,689.52/75,471.56 = 29,539/x
  3. Step 3: Cross multiply
    54,689.52x = 75,471.56 × 29,539
  4. Step 4: Simplify right side
    54,689.52x = 2,229,354,410.84
  5. Step 5: Solve for x
    x = 2,229,354,410.84/54,689.52
  6. Step 6: Final answer
    x = 40,763.83

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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.