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Finding the Fourth Proportional to 15,939.52, 23,916 and 8,542

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Solution

The fourth proportional to 15,939.52, 23,916 and 8,542 is: 12,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,939.52 : 23,916 = 8,542 : x
  2. Step 2: Convert to fraction form
    15,939.52/23,916 = 8,542/x
  3. Step 3: Cross multiply
    15,939.52x = 23,916 × 8,542
  4. Step 4: Simplify right side
    15,939.52x = 204,290,472
  5. Step 5: Solve for x
    x = 204,290,472/15,939.52
  6. Step 6: Final answer
    x = 12,816.60

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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.