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Finding the Fourth Proportional to 31,390.40, 47,061.60 and 15,819.20

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Solution

The fourth proportional to 31,390.40, 47,061.60 and 15,819.20 is: 23,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.40 : 47,061.60 = 15,819.20 : x
  2. Step 2: Convert to fraction form
    31,390.40/47,061.60 = 15,819.20/x
  3. Step 3: Cross multiply
    31,390.40x = 47,061.60 × 15,819.20
  4. Step 4: Simplify right side
    31,390.40x = 744,476,862.72
  5. Step 5: Solve for x
    x = 744,476,862.72/31,390.40
  6. Step 6: Final answer
    x = 23,716.71

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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.