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Finding the Fourth Proportional to 31,397.60, 47,067.12 and 10,606.56

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Solution

The fourth proportional to 31,397.60, 47,067.12 and 10,606.56 is: 15,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.60 : 47,067.12 = 10,606.56 : x
  2. Step 2: Convert to fraction form
    31,397.60/47,067.12 = 10,606.56/x
  3. Step 3: Cross multiply
    31,397.60x = 47,067.12 × 10,606.56
  4. Step 4: Simplify right side
    31,397.60x = 499,220,232.31
  5. Step 5: Solve for x
    x = 499,220,232.31/31,397.60
  6. Step 6: Final answer
    x = 15,899.95

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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.