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Finding the Fourth Proportional to 2,791.92, 3,850.08 and 2,201.28

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Solution

The fourth proportional to 2,791.92, 3,850.08 and 2,201.28 is: 3,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.92 : 3,850.08 = 2,201.28 : x
  2. Step 2: Convert to fraction form
    2,791.92/3,850.08 = 2,201.28/x
  3. Step 3: Cross multiply
    2,791.92x = 3,850.08 × 2,201.28
  4. Step 4: Simplify right side
    2,791.92x = 8,475,104.10
  5. Step 5: Solve for x
    x = 8,475,104.10/2,791.92
  6. Step 6: Final answer
    x = 3,035.58

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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.