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Finding the Fourth Proportional to 31,324.97, 46,978.22 and 9,132.39

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Solution

The fourth proportional to 31,324.97, 46,978.22 and 9,132.39 is: 13,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.97 : 46,978.22 = 9,132.39 : x
  2. Step 2: Convert to fraction form
    31,324.97/46,978.22 = 9,132.39/x
  3. Step 3: Cross multiply
    31,324.97x = 46,978.22 × 9,132.39
  4. Step 4: Simplify right side
    31,324.97x = 429,023,449.38
  5. Step 5: Solve for x
    x = 429,023,449.38/31,324.97
  6. Step 6: Final answer
    x = 13,695.89

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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.