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Finding the Fourth Proportional to 3,874.40, 5,815.20 and 3,327.20

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Solution

The fourth proportional to 3,874.40, 5,815.20 and 3,327.20 is: 4,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.40 : 5,815.20 = 3,327.20 : x
  2. Step 2: Convert to fraction form
    3,874.40/5,815.20 = 3,327.20/x
  3. Step 3: Cross multiply
    3,874.40x = 5,815.20 × 3,327.20
  4. Step 4: Simplify right side
    3,874.40x = 19,348,333.44
  5. Step 5: Solve for x
    x = 19,348,333.44/3,874.40
  6. Step 6: Final answer
    x = 4,993.89

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Why These Related Problems?

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