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Finding the Fourth Proportional to 9,691.35, 14,471.38 and 7,694.57

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Solution

The fourth proportional to 9,691.35, 14,471.38 and 7,694.57 is: 11,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.35 : 14,471.38 = 7,694.57 : x
  2. Step 2: Convert to fraction form
    9,691.35/14,471.38 = 7,694.57/x
  3. Step 3: Cross multiply
    9,691.35x = 14,471.38 × 7,694.57
  4. Step 4: Simplify right side
    9,691.35x = 111,351,092.20
  5. Step 5: Solve for x
    x = 111,351,092.20/9,691.35
  6. Step 6: Final answer
    x = 11,489.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.