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Finding the Fourth Proportional to 8,195.87, 12,290.96 and 5,071.10

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Solution

The fourth proportional to 8,195.87, 12,290.96 and 5,071.10 is: 7,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.87 : 12,290.96 = 5,071.10 : x
  2. Step 2: Convert to fraction form
    8,195.87/12,290.96 = 5,071.10/x
  3. Step 3: Cross multiply
    8,195.87x = 12,290.96 × 5,071.10
  4. Step 4: Simplify right side
    8,195.87x = 62,328,600.45
  5. Step 5: Solve for x
    x = 62,328,600.45/8,195.87
  6. Step 6: Final answer
    x = 7,604.88

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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.