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Finding the Fourth Proportional to 8,251.66, 12,379.78 and 3,810.69

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Solution

The fourth proportional to 8,251.66, 12,379.78 and 3,810.69 is: 5,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.66 : 12,379.78 = 3,810.69 : x
  2. Step 2: Convert to fraction form
    8,251.66/12,379.78 = 3,810.69/x
  3. Step 3: Cross multiply
    8,251.66x = 12,379.78 × 3,810.69
  4. Step 4: Simplify right side
    8,251.66x = 47,175,503.85
  5. Step 5: Solve for x
    x = 47,175,503.85/8,251.66
  6. Step 6: Final answer
    x = 5,717.09

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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.