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Finding the Fourth Proportional to 31,881.92, 47,843.52 and 13,414.08

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Solution

The fourth proportional to 31,881.92, 47,843.52 and 13,414.08 is: 20,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.92 : 47,843.52 = 13,414.08 : x
  2. Step 2: Convert to fraction form
    31,881.92/47,843.52 = 13,414.08/x
  3. Step 3: Cross multiply
    31,881.92x = 47,843.52 × 13,414.08
  4. Step 4: Simplify right side
    31,881.92x = 641,776,804.76
  5. Step 5: Solve for x
    x = 641,776,804.76/31,881.92
  6. Step 6: Final answer
    x = 20,129.80

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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.