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Finding the Fourth Proportional to 3,951.75, 5,453.48 and 2,159.31

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Solution

The fourth proportional to 3,951.75, 5,453.48 and 2,159.31 is: 2,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.75 : 5,453.48 = 2,159.31 : x
  2. Step 2: Convert to fraction form
    3,951.75/5,453.48 = 2,159.31/x
  3. Step 3: Cross multiply
    3,951.75x = 5,453.48 × 2,159.31
  4. Step 4: Simplify right side
    3,951.75x = 11,775,743.10
  5. Step 5: Solve for x
    x = 11,775,743.10/3,951.75
  6. Step 6: Final answer
    x = 2,979.88

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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.