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Finding the Fourth Proportional to 31,382.40, 47,049.60 and 15,811.20

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Solution

The fourth proportional to 31,382.40, 47,049.60 and 15,811.20 is: 23,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.40 : 47,049.60 = 15,811.20 : x
  2. Step 2: Convert to fraction form
    31,382.40/47,049.60 = 15,811.20/x
  3. Step 3: Cross multiply
    31,382.40x = 47,049.60 × 15,811.20
  4. Step 4: Simplify right side
    31,382.40x = 743,910,635.52
  5. Step 5: Solve for x
    x = 743,910,635.52/31,382.40
  6. Step 6: Final answer
    x = 23,704.71

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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.