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Finding the Fourth Proportional to 31,877, 43,990.26 and 18,629

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Solution

The fourth proportional to 31,877, 43,990.26 and 18,629 is: 25,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877 : 43,990.26 = 18,629 : x
  2. Step 2: Convert to fraction form
    31,877/43,990.26 = 18,629/x
  3. Step 3: Cross multiply
    31,877x = 43,990.26 × 18,629
  4. Step 4: Simplify right side
    31,877x = 819,494,553.54
  5. Step 5: Solve for x
    x = 819,494,553.54/31,877
  6. Step 6: Final answer
    x = 25,708.02

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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.