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Finding the Fourth Proportional to 31,551.97, 47,310.20 and 10,480.73

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Solution

The fourth proportional to 31,551.97, 47,310.20 and 10,480.73 is: 15,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.97 : 47,310.20 = 10,480.73 : x
  2. Step 2: Convert to fraction form
    31,551.97/47,310.20 = 10,480.73/x
  3. Step 3: Cross multiply
    31,551.97x = 47,310.20 × 10,480.73
  4. Step 4: Simplify right side
    31,551.97x = 495,845,380.04
  5. Step 5: Solve for x
    x = 495,845,380.04/31,551.97
  6. Step 6: Final answer
    x = 15,715.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.