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Finding the Fourth Proportional to 10,489.14, 15,735.87 and 8,769.78

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Solution

The fourth proportional to 10,489.14, 15,735.87 and 8,769.78 is: 13,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.14 : 15,735.87 = 8,769.78 : x
  2. Step 2: Convert to fraction form
    10,489.14/15,735.87 = 8,769.78/x
  3. Step 3: Cross multiply
    10,489.14x = 15,735.87 × 8,769.78
  4. Step 4: Simplify right side
    10,489.14x = 138,000,118.01
  5. Step 5: Solve for x
    x = 138,000,118.01/10,489.14
  6. Step 6: Final answer
    x = 13,156.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.