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Finding the Fourth Proportional to 8,229.65, 12,336.68 and 2,679.10

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Solution

The fourth proportional to 8,229.65, 12,336.68 and 2,679.10 is: 4,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.65 : 12,336.68 = 2,679.10 : x
  2. Step 2: Convert to fraction form
    8,229.65/12,336.68 = 2,679.10/x
  3. Step 3: Cross multiply
    8,229.65x = 12,336.68 × 2,679.10
  4. Step 4: Simplify right side
    8,229.65x = 33,051,175.24
  5. Step 5: Solve for x
    x = 33,051,175.24/8,229.65
  6. Step 6: Final answer
    x = 4,016.11

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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.