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Finding the Fourth Proportional to 8,162.38, 11,248.29 and 5,505.17

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Solution

The fourth proportional to 8,162.38, 11,248.29 and 5,505.17 is: 7,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.38 : 11,248.29 = 5,505.17 : x
  2. Step 2: Convert to fraction form
    8,162.38/11,248.29 = 5,505.17/x
  3. Step 3: Cross multiply
    8,162.38x = 11,248.29 × 5,505.17
  4. Step 4: Simplify right side
    8,162.38x = 61,923,776.78
  5. Step 5: Solve for x
    x = 61,923,776.78/8,162.38
  6. Step 6: Final answer
    x = 7,586.49

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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.