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Finding the Fourth Proportional to 3,660, 5,481.60 and 2,197.44

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Solution

The fourth proportional to 3,660, 5,481.60 and 2,197.44 is: 3,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,481.60 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    3,660/5,481.60 = 2,197.44/x
  3. Step 3: Cross multiply
    3,660x = 5,481.60 × 2,197.44
  4. Step 4: Simplify right side
    3,660x = 12,045,487.10
  5. Step 5: Solve for x
    x = 12,045,487.10/3,660
  6. Step 6: Final answer
    x = 3,291.12

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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.