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Finding the Fourth Proportional to 8,230.38, 12,338.12 and 2,964.16

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Solution

The fourth proportional to 8,230.38, 12,338.12 and 2,964.16 is: 4,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.38 : 12,338.12 = 2,964.16 : x
  2. Step 2: Convert to fraction form
    8,230.38/12,338.12 = 2,964.16/x
  3. Step 3: Cross multiply
    8,230.38x = 12,338.12 × 2,964.16
  4. Step 4: Simplify right side
    8,230.38x = 36,572,161.78
  5. Step 5: Solve for x
    x = 36,572,161.78/8,230.38
  6. Step 6: Final answer
    x = 4,443.56

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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.