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Finding the Fourth Proportional to 8,517.69, 12,779.70 and 3,836.28

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Solution

The fourth proportional to 8,517.69, 12,779.70 and 3,836.28 is: 5,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.69 : 12,779.70 = 3,836.28 : x
  2. Step 2: Convert to fraction form
    8,517.69/12,779.70 = 3,836.28/x
  3. Step 3: Cross multiply
    8,517.69x = 12,779.70 × 3,836.28
  4. Step 4: Simplify right side
    8,517.69x = 49,026,507.52
  5. Step 5: Solve for x
    x = 49,026,507.52/8,517.69
  6. Step 6: Final answer
    x = 5,755.85

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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.