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Finding the Fourth Proportional to 2,836.32, 4,254.50 and 861.97

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Solution

The fourth proportional to 2,836.32, 4,254.50 and 861.97 is: 1,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.32 : 4,254.50 = 861.97 : x
  2. Step 2: Convert to fraction form
    2,836.32/4,254.50 = 861.97/x
  3. Step 3: Cross multiply
    2,836.32x = 4,254.50 × 861.97
  4. Step 4: Simplify right side
    2,836.32x = 3,667,251.37
  5. Step 5: Solve for x
    x = 3,667,251.37/2,836.32
  6. Step 6: Final answer
    x = 1,292.96

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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.