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Finding the Fourth Proportional to 31,662, 43,689.78 and 17,512.92

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Solution

The fourth proportional to 31,662, 43,689.78 and 17,512.92 is: 24,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662 : 43,689.78 = 17,512.92 : x
  2. Step 2: Convert to fraction form
    31,662/43,689.78 = 17,512.92/x
  3. Step 3: Cross multiply
    31,662x = 43,689.78 × 17,512.92
  4. Step 4: Simplify right side
    31,662x = 765,135,621.96
  5. Step 5: Solve for x
    x = 765,135,621.96/31,662
  6. Step 6: Final answer
    x = 24,165.74

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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.