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Finding the Fourth Proportional to 8,251.80, 12,379.70 and 2,408.60

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Solution

The fourth proportional to 8,251.80, 12,379.70 and 2,408.60 is: 3,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.80 : 12,379.70 = 2,408.60 : x
  2. Step 2: Convert to fraction form
    8,251.80/12,379.70 = 2,408.60/x
  3. Step 3: Cross multiply
    8,251.80x = 12,379.70 × 2,408.60
  4. Step 4: Simplify right side
    8,251.80x = 29,817,745.42
  5. Step 5: Solve for x
    x = 29,817,745.42/8,251.80
  6. Step 6: Final answer
    x = 3,613.48

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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.