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Finding the Fourth Proportional to 3,765.18, 5,631.36 and 2,201.47

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Solution

The fourth proportional to 3,765.18, 5,631.36 and 2,201.47 is: 3,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.18 : 5,631.36 = 2,201.47 : x
  2. Step 2: Convert to fraction form
    3,765.18/5,631.36 = 2,201.47/x
  3. Step 3: Cross multiply
    3,765.18x = 5,631.36 × 2,201.47
  4. Step 4: Simplify right side
    3,765.18x = 12,397,270.10
  5. Step 5: Solve for x
    x = 12,397,270.10/3,765.18
  6. Step 6: Final answer
    x = 3,292.61

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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.