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Finding the Fourth Proportional to 39,439, 59,167.14 and 14,815

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Solution

The fourth proportional to 39,439, 59,167.14 and 14,815 is: 22,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,439 : 59,167.14 = 14,815 : x
  2. Step 2: Convert to fraction form
    39,439/59,167.14 = 14,815/x
  3. Step 3: Cross multiply
    39,439x = 59,167.14 × 14,815
  4. Step 4: Simplify right side
    39,439x = 876,561,179.10
  5. Step 5: Solve for x
    x = 876,561,179.10/39,439
  6. Step 6: Final answer
    x = 22,225.75

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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.