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Finding the Fourth Proportional to 31,620.92, 43,639.46 and 17,474

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Solution

The fourth proportional to 31,620.92, 43,639.46 and 17,474 is: 24,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620.92 : 43,639.46 = 17,474 : x
  2. Step 2: Convert to fraction form
    31,620.92/43,639.46 = 17,474/x
  3. Step 3: Cross multiply
    31,620.92x = 43,639.46 × 17,474
  4. Step 4: Simplify right side
    31,620.92x = 762,555,924.04
  5. Step 5: Solve for x
    x = 762,555,924.04/31,620.92
  6. Step 6: Final answer
    x = 24,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.