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Finding the Fourth Proportional to 3,891.96, 5,375.48 and 3,097.96

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Solution

The fourth proportional to 3,891.96, 5,375.48 and 3,097.96 is: 4,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.96 : 5,375.48 = 3,097.96 : x
  2. Step 2: Convert to fraction form
    3,891.96/5,375.48 = 3,097.96/x
  3. Step 3: Cross multiply
    3,891.96x = 5,375.48 × 3,097.96
  4. Step 4: Simplify right side
    3,891.96x = 16,652,993.09
  5. Step 5: Solve for x
    x = 16,652,993.09/3,891.96
  6. Step 6: Final answer
    x = 4,278.82

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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.