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Finding the Fourth Proportional to 8,296, 11,458.20 and 5,496.64

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Solution

The fourth proportional to 8,296, 11,458.20 and 5,496.64 is: 7,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296 : 11,458.20 = 5,496.64 : x
  2. Step 2: Convert to fraction form
    8,296/11,458.20 = 5,496.64/x
  3. Step 3: Cross multiply
    8,296x = 11,458.20 × 5,496.64
  4. Step 4: Simplify right side
    8,296x = 62,981,600.45
  5. Step 5: Solve for x
    x = 62,981,600.45/8,296
  6. Step 6: Final answer
    x = 7,591.80

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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.