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Finding the Fourth Proportional to 8,408.34, 12,605.19 and 3,474.90

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Solution

The fourth proportional to 8,408.34, 12,605.19 and 3,474.90 is: 5,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.34 : 12,605.19 = 3,474.90 : x
  2. Step 2: Convert to fraction form
    8,408.34/12,605.19 = 3,474.90/x
  3. Step 3: Cross multiply
    8,408.34x = 12,605.19 × 3,474.90
  4. Step 4: Simplify right side
    8,408.34x = 43,801,774.73
  5. Step 5: Solve for x
    x = 43,801,774.73/8,408.34
  6. Step 6: Final answer
    x = 5,209.32

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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.