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Finding the Fourth Proportional to 8,351.96, 12,519.74 and 3,414.80

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Solution

The fourth proportional to 8,351.96, 12,519.74 and 3,414.80 is: 5,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.96 : 12,519.74 = 3,414.80 : x
  2. Step 2: Convert to fraction form
    8,351.96/12,519.74 = 3,414.80/x
  3. Step 3: Cross multiply
    8,351.96x = 12,519.74 × 3,414.80
  4. Step 4: Simplify right side
    8,351.96x = 42,752,408.15
  5. Step 5: Solve for x
    x = 42,752,408.15/8,351.96
  6. Step 6: Final answer
    x = 5,118.85

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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.