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Finding the Fourth Proportional to 31,503.60, 47,284.32 and 15,932.16

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Solution

The fourth proportional to 31,503.60, 47,284.32 and 15,932.16 is: 23,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.60 : 47,284.32 = 15,932.16 : x
  2. Step 2: Convert to fraction form
    31,503.60/47,284.32 = 15,932.16/x
  3. Step 3: Cross multiply
    31,503.60x = 47,284.32 × 15,932.16
  4. Step 4: Simplify right side
    31,503.60x = 753,341,351.73
  5. Step 5: Solve for x
    x = 753,341,351.73/31,503.60
  6. Step 6: Final answer
    x = 23,912.87

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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.