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Finding the Fourth Proportional to 3,879.87, 5,354.42 and 2,201.01

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Solution

The fourth proportional to 3,879.87, 5,354.42 and 2,201.01 is: 3,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.87 : 5,354.42 = 2,201.01 : x
  2. Step 2: Convert to fraction form
    3,879.87/5,354.42 = 2,201.01/x
  3. Step 3: Cross multiply
    3,879.87x = 5,354.42 × 2,201.01
  4. Step 4: Simplify right side
    3,879.87x = 11,785,120.96
  5. Step 5: Solve for x
    x = 11,785,120.96/3,879.87
  6. Step 6: Final answer
    x = 3,037.50

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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.