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Finding the Fourth Proportional to 8,154.38, 12,233.07 and 3,474.38

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Solution

The fourth proportional to 8,154.38, 12,233.07 and 3,474.38 is: 5,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.38 : 12,233.07 = 3,474.38 : x
  2. Step 2: Convert to fraction form
    8,154.38/12,233.07 = 3,474.38/x
  3. Step 3: Cross multiply
    8,154.38x = 12,233.07 × 3,474.38
  4. Step 4: Simplify right side
    8,154.38x = 42,502,333.75
  5. Step 5: Solve for x
    x = 42,502,333.75/8,154.38
  6. Step 6: Final answer
    x = 5,212.21

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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.