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Finding the Fourth Proportional to 31,442, 43,390.25 and 17,101.97

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Solution

The fourth proportional to 31,442, 43,390.25 and 17,101.97 is: 23,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442 : 43,390.25 = 17,101.97 : x
  2. Step 2: Convert to fraction form
    31,442/43,390.25 = 17,101.97/x
  3. Step 3: Cross multiply
    31,442x = 43,390.25 × 17,101.97
  4. Step 4: Simplify right side
    31,442x = 742,058,753.79
  5. Step 5: Solve for x
    x = 742,058,753.79/31,442
  6. Step 6: Final answer
    x = 23,600.88

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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.