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Finding the Fourth Proportional to 2,751.28, 3,793.02 and 1,963.96

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Solution

The fourth proportional to 2,751.28, 3,793.02 and 1,963.96 is: 2,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.28 : 3,793.02 = 1,963.96 : x
  2. Step 2: Convert to fraction form
    2,751.28/3,793.02 = 1,963.96/x
  3. Step 3: Cross multiply
    2,751.28x = 3,793.02 × 1,963.96
  4. Step 4: Simplify right side
    2,751.28x = 7,449,339.56
  5. Step 5: Solve for x
    x = 7,449,339.56/2,751.28
  6. Step 6: Final answer
    x = 2,707.59

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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.