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Finding the Fourth Proportional to 8,351.92, 12,532.13 and 3,969.42

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Solution

The fourth proportional to 8,351.92, 12,532.13 and 3,969.42 is: 5,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.92 : 12,532.13 = 3,969.42 : x
  2. Step 2: Convert to fraction form
    8,351.92/12,532.13 = 3,969.42/x
  3. Step 3: Cross multiply
    8,351.92x = 12,532.13 × 3,969.42
  4. Step 4: Simplify right side
    8,351.92x = 49,745,287.46
  5. Step 5: Solve for x
    x = 49,745,287.46/8,351.92
  6. Step 6: Final answer
    x = 5,956.15

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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.