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Finding the Fourth Proportional to 8,231.02, 12,318.68 and 6,916.19

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Solution

The fourth proportional to 8,231.02, 12,318.68 and 6,916.19 is: 10,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.02 : 12,318.68 = 6,916.19 : x
  2. Step 2: Convert to fraction form
    8,231.02/12,318.68 = 6,916.19/x
  3. Step 3: Cross multiply
    8,231.02x = 12,318.68 × 6,916.19
  4. Step 4: Simplify right side
    8,231.02x = 85,198,287.13
  5. Step 5: Solve for x
    x = 85,198,287.13/8,231.02
  6. Step 6: Final answer
    x = 10,350.88

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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.