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Finding the Fourth Proportional to 8,114.88, 12,167.16 and 3,432.44

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Solution

The fourth proportional to 8,114.88, 12,167.16 and 3,432.44 is: 5,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.88 : 12,167.16 = 3,432.44 : x
  2. Step 2: Convert to fraction form
    8,114.88/12,167.16 = 3,432.44/x
  3. Step 3: Cross multiply
    8,114.88x = 12,167.16 × 3,432.44
  4. Step 4: Simplify right side
    8,114.88x = 41,763,046.67
  5. Step 5: Solve for x
    x = 41,763,046.67/8,114.88
  6. Step 6: Final answer
    x = 5,146.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.