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Finding the Fourth Proportional to 8,251.81, 12,377.96 and 2,095.81

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Solution

The fourth proportional to 8,251.81, 12,377.96 and 2,095.81 is: 3,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.81 : 12,377.96 = 2,095.81 : x
  2. Step 2: Convert to fraction form
    8,251.81/12,377.96 = 2,095.81/x
  3. Step 3: Cross multiply
    8,251.81x = 12,377.96 × 2,095.81
  4. Step 4: Simplify right side
    8,251.81x = 25,941,841.87
  5. Step 5: Solve for x
    x = 25,941,841.87/8,251.81
  6. Step 6: Final answer
    x = 3,143.78

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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.