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Finding the Fourth Proportional to 2,682, 4,023.52 and 1,296.29

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Solution

The fourth proportional to 2,682, 4,023.52 and 1,296.29 is: 1,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 4,023.52 = 1,296.29 : x
  2. Step 2: Convert to fraction form
    2,682/4,023.52 = 1,296.29/x
  3. Step 3: Cross multiply
    2,682x = 4,023.52 × 1,296.29
  4. Step 4: Simplify right side
    2,682x = 5,215,655.56
  5. Step 5: Solve for x
    x = 5,215,655.56/2,682
  6. Step 6: Final answer
    x = 1,944.69

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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.