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Finding the Fourth Proportional to 2,691.96, 4,028.31 and 1,952.43

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Solution

The fourth proportional to 2,691.96, 4,028.31 and 1,952.43 is: 2,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.96 : 4,028.31 = 1,952.43 : x
  2. Step 2: Convert to fraction form
    2,691.96/4,028.31 = 1,952.43/x
  3. Step 3: Cross multiply
    2,691.96x = 4,028.31 × 1,952.43
  4. Step 4: Simplify right side
    2,691.96x = 7,864,993.29
  5. Step 5: Solve for x
    x = 7,864,993.29/2,691.96
  6. Step 6: Final answer
    x = 2,921.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.