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Finding the Fourth Proportional to 8,313.92, 12,467.65 and 3,247.49

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Solution

The fourth proportional to 8,313.92, 12,467.65 and 3,247.49 is: 4,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.92 : 12,467.65 = 3,247.49 : x
  2. Step 2: Convert to fraction form
    8,313.92/12,467.65 = 3,247.49/x
  3. Step 3: Cross multiply
    8,313.92x = 12,467.65 × 3,247.49
  4. Step 4: Simplify right side
    8,313.92x = 40,488,568.70
  5. Step 5: Solve for x
    x = 40,488,568.70/8,313.92
  6. Step 6: Final answer
    x = 4,869.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.