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Finding the Fourth Proportional to 31,361.74, 47,042.62 and 13,843.87

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Solution

The fourth proportional to 31,361.74, 47,042.62 and 13,843.87 is: 20,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.74 : 47,042.62 = 13,843.87 : x
  2. Step 2: Convert to fraction form
    31,361.74/47,042.62 = 13,843.87/x
  3. Step 3: Cross multiply
    31,361.74x = 47,042.62 × 13,843.87
  4. Step 4: Simplify right side
    31,361.74x = 651,251,763.52
  5. Step 5: Solve for x
    x = 651,251,763.52/31,361.74
  6. Step 6: Final answer
    x = 20,765.81

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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.