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Finding the Fourth Proportional to 8,841.98, 12,199.72 and 5,694.38

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Solution

The fourth proportional to 8,841.98, 12,199.72 and 5,694.38 is: 7,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.98 : 12,199.72 = 5,694.38 : x
  2. Step 2: Convert to fraction form
    8,841.98/12,199.72 = 5,694.38/x
  3. Step 3: Cross multiply
    8,841.98x = 12,199.72 × 5,694.38
  4. Step 4: Simplify right side
    8,841.98x = 69,469,766.34
  5. Step 5: Solve for x
    x = 69,469,766.34/8,841.98
  6. Step 6: Final answer
    x = 7,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.