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Finding the Fourth Proportional to 8,249.96, 12,361.96 and 6,380.42

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Solution

The fourth proportional to 8,249.96, 12,361.96 and 6,380.42 is: 9,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.96 : 12,361.96 = 6,380.42 : x
  2. Step 2: Convert to fraction form
    8,249.96/12,361.96 = 6,380.42/x
  3. Step 3: Cross multiply
    8,249.96x = 12,361.96 × 6,380.42
  4. Step 4: Simplify right side
    8,249.96x = 78,874,464.92
  5. Step 5: Solve for x
    x = 78,874,464.92/8,249.96
  6. Step 6: Final answer
    x = 9,560.59

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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.