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Finding the Fourth Proportional to 3,969.70, 5,478.23 and 2,201.33

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Solution

The fourth proportional to 3,969.70, 5,478.23 and 2,201.33 is: 3,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.70 : 5,478.23 = 2,201.33 : x
  2. Step 2: Convert to fraction form
    3,969.70/5,478.23 = 2,201.33/x
  3. Step 3: Cross multiply
    3,969.70x = 5,478.23 × 2,201.33
  4. Step 4: Simplify right side
    3,969.70x = 12,059,392.05
  5. Step 5: Solve for x
    x = 12,059,392.05/3,969.70
  6. Step 6: Final answer
    x = 3,037.86

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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.