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Finding the Fourth Proportional to 10,489.31, 15,805.69 and 8,680.31

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Solution

The fourth proportional to 10,489.31, 15,805.69 and 8,680.31 is: 13,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.31 : 15,805.69 = 8,680.31 : x
  2. Step 2: Convert to fraction form
    10,489.31/15,805.69 = 8,680.31/x
  3. Step 3: Cross multiply
    10,489.31x = 15,805.69 × 8,680.31
  4. Step 4: Simplify right side
    10,489.31x = 137,198,288.96
  5. Step 5: Solve for x
    x = 137,198,288.96/10,489.31
  6. Step 6: Final answer
    x = 13,079.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.