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Finding the Fourth Proportional to 31,451.76, 47,138.76 and 15,873.84

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Solution

The fourth proportional to 31,451.76, 47,138.76 and 15,873.84 is: 23,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.76 : 47,138.76 = 15,873.84 : x
  2. Step 2: Convert to fraction form
    31,451.76/47,138.76 = 15,873.84/x
  3. Step 3: Cross multiply
    31,451.76x = 47,138.76 × 15,873.84
  4. Step 4: Simplify right side
    31,451.76x = 748,273,134.04
  5. Step 5: Solve for x
    x = 748,273,134.04/31,451.76
  6. Step 6: Final answer
    x = 23,791.14

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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.