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Finding the Fourth Proportional to 3,947.56, 5,448.02 and 2,951.11

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Solution

The fourth proportional to 3,947.56, 5,448.02 and 2,951.11 is: 4,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.56 : 5,448.02 = 2,951.11 : x
  2. Step 2: Convert to fraction form
    3,947.56/5,448.02 = 2,951.11/x
  3. Step 3: Cross multiply
    3,947.56x = 5,448.02 × 2,951.11
  4. Step 4: Simplify right side
    3,947.56x = 16,077,706.30
  5. Step 5: Solve for x
    x = 16,077,706.30/3,947.56
  6. Step 6: Final answer
    x = 4,072.82

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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.