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Finding the Fourth Proportional to 12,287.22, 18,408.78 and 7,469.90

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Solution

The fourth proportional to 12,287.22, 18,408.78 and 7,469.90 is: 11,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.22 : 18,408.78 = 7,469.90 : x
  2. Step 2: Convert to fraction form
    12,287.22/18,408.78 = 7,469.90/x
  3. Step 3: Cross multiply
    12,287.22x = 18,408.78 × 7,469.90
  4. Step 4: Simplify right side
    12,287.22x = 137,511,745.72
  5. Step 5: Solve for x
    x = 137,511,745.72/12,287.22
  6. Step 6: Final answer
    x = 11,191.44

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1.5x scale

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.