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Finding the Fourth Proportional to 39,689.52, 59,488.92 and 16,287

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Solution

The fourth proportional to 39,689.52, 59,488.92 and 16,287 is: 24,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,689.52 : 59,488.92 = 16,287 : x
  2. Step 2: Convert to fraction form
    39,689.52/59,488.92 = 16,287/x
  3. Step 3: Cross multiply
    39,689.52x = 59,488.92 × 16,287
  4. Step 4: Simplify right side
    39,689.52x = 968,896,040.04
  5. Step 5: Solve for x
    x = 968,896,040.04/39,689.52
  6. Step 6: Final answer
    x = 24,411.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.