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Finding the Fourth Proportional to 3,998.40, 5,517.96 and 2,230

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Solution

The fourth proportional to 3,998.40, 5,517.96 and 2,230 is: 3,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.40 : 5,517.96 = 2,230 : x
  2. Step 2: Convert to fraction form
    3,998.40/5,517.96 = 2,230/x
  3. Step 3: Cross multiply
    3,998.40x = 5,517.96 × 2,230
  4. Step 4: Simplify right side
    3,998.40x = 12,305,050.80
  5. Step 5: Solve for x
    x = 12,305,050.80/3,998.40
  6. Step 6: Final answer
    x = 3,077.49

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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.