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Finding the Fourth Proportional to 7,728.28, 11,564.72 and 6,691.86

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Solution

The fourth proportional to 7,728.28, 11,564.72 and 6,691.86 is: 10,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.28 : 11,564.72 = 6,691.86 : x
  2. Step 2: Convert to fraction form
    7,728.28/11,564.72 = 6,691.86/x
  3. Step 3: Cross multiply
    7,728.28x = 11,564.72 × 6,691.86
  4. Step 4: Simplify right side
    7,728.28x = 77,389,487.18
  5. Step 5: Solve for x
    x = 77,389,487.18/7,728.28
  6. Step 6: Final answer
    x = 10,013.80

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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.