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Finding the Fourth Proportional to 31,429.71, 47,114.87 and 11,694.87

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Solution

The fourth proportional to 31,429.71, 47,114.87 and 11,694.87 is: 17,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.71 : 47,114.87 = 11,694.87 : x
  2. Step 2: Convert to fraction form
    31,429.71/47,114.87 = 11,694.87/x
  3. Step 3: Cross multiply
    31,429.71x = 47,114.87 × 11,694.87
  4. Step 4: Simplify right side
    31,429.71x = 551,002,221.24
  5. Step 5: Solve for x
    x = 551,002,221.24/31,429.71
  6. Step 6: Final answer
    x = 17,531.25

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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.