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Finding the Fourth Proportional to 8,591.78, 11,828.32 and 7,472.12

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Solution

The fourth proportional to 8,591.78, 11,828.32 and 7,472.12 is: 10,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.78 : 11,828.32 = 7,472.12 : x
  2. Step 2: Convert to fraction form
    8,591.78/11,828.32 = 7,472.12/x
  3. Step 3: Cross multiply
    8,591.78x = 11,828.32 × 7,472.12
  4. Step 4: Simplify right side
    8,591.78x = 88,382,626.44
  5. Step 5: Solve for x
    x = 88,382,626.44/8,591.78
  6. Step 6: Final answer
    x = 10,286.88

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1.5x scale

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.