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Finding the Fourth Proportional to 10,877, 15,010.38 and 5,909

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Solution

The fourth proportional to 10,877, 15,010.38 and 5,909 is: 8,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877 : 15,010.38 = 5,909 : x
  2. Step 2: Convert to fraction form
    10,877/15,010.38 = 5,909/x
  3. Step 3: Cross multiply
    10,877x = 15,010.38 × 5,909
  4. Step 4: Simplify right side
    10,877x = 88,696,335.42
  5. Step 5: Solve for x
    x = 88,696,335.42/10,877
  6. Step 6: Final answer
    x = 8,154.49

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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.