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Finding the Fourth Proportional to 3,998.50, 5,517.92 and 2,230

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Solution

The fourth proportional to 3,998.50, 5,517.92 and 2,230 is: 3,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.50 : 5,517.92 = 2,230 : x
  2. Step 2: Convert to fraction form
    3,998.50/5,517.92 = 2,230/x
  3. Step 3: Cross multiply
    3,998.50x = 5,517.92 × 2,230
  4. Step 4: Simplify right side
    3,998.50x = 12,304,961.60
  5. Step 5: Solve for x
    x = 12,304,961.60/3,998.50
  6. Step 6: Final answer
    x = 3,077.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.