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Finding the Fourth Proportional to 2,162, 3,241.28 and 863.12

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Solution

The fourth proportional to 2,162, 3,241.28 and 863.12 is: 1,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162 : 3,241.28 = 863.12 : x
  2. Step 2: Convert to fraction form
    2,162/3,241.28 = 863.12/x
  3. Step 3: Cross multiply
    2,162x = 3,241.28 × 863.12
  4. Step 4: Simplify right side
    2,162x = 2,797,613.59
  5. Step 5: Solve for x
    x = 2,797,613.59/2,162
  6. Step 6: Final answer
    x = 1,293.99

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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.