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Finding the Fourth Proportional to 31,487.52, 47,223.72 and 9,294.90

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Solution

The fourth proportional to 31,487.52, 47,223.72 and 9,294.90 is: 13,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,487.52 : 47,223.72 = 9,294.90 : x
  2. Step 2: Convert to fraction form
    31,487.52/47,223.72 = 9,294.90/x
  3. Step 3: Cross multiply
    31,487.52x = 47,223.72 × 9,294.90
  4. Step 4: Simplify right side
    31,487.52x = 438,939,755.03
  5. Step 5: Solve for x
    x = 438,939,755.03/31,487.52
  6. Step 6: Final answer
    x = 13,940.12

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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.