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Finding the Fourth Proportional to 8,251.66, 12,382.35 and 3,869.16

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Solution

The fourth proportional to 8,251.66, 12,382.35 and 3,869.16 is: 5,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.66 : 12,382.35 = 3,869.16 : x
  2. Step 2: Convert to fraction form
    8,251.66/12,382.35 = 3,869.16/x
  3. Step 3: Cross multiply
    8,251.66x = 12,382.35 × 3,869.16
  4. Step 4: Simplify right side
    8,251.66x = 47,909,293.33
  5. Step 5: Solve for x
    x = 47,909,293.33/8,251.66
  6. Step 6: Final answer
    x = 5,806.02

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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.