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Finding the Fourth Proportional to 8,313.71, 12,468.13 and 3,382.43

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Solution

The fourth proportional to 8,313.71, 12,468.13 and 3,382.43 is: 5,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.71 : 12,468.13 = 3,382.43 : x
  2. Step 2: Convert to fraction form
    8,313.71/12,468.13 = 3,382.43/x
  3. Step 3: Cross multiply
    8,313.71x = 12,468.13 × 3,382.43
  4. Step 4: Simplify right side
    8,313.71x = 42,172,506.16
  5. Step 5: Solve for x
    x = 42,172,506.16/8,313.71
  6. Step 6: Final answer
    x = 5,072.65

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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.