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Finding the Fourth Proportional to 8,216.92, 12,325.38 and 3,998.44

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Solution

The fourth proportional to 8,216.92, 12,325.38 and 3,998.44 is: 5,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.92 : 12,325.38 = 3,998.44 : x
  2. Step 2: Convert to fraction form
    8,216.92/12,325.38 = 3,998.44/x
  3. Step 3: Cross multiply
    8,216.92x = 12,325.38 × 3,998.44
  4. Step 4: Simplify right side
    8,216.92x = 49,282,292.41
  5. Step 5: Solve for x
    x = 49,282,292.41/8,216.92
  6. Step 6: Final answer
    x = 5,997.66

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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.