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Finding the Fourth Proportional to 2,248.32, 3,371.88 and 861.84

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Solution

The fourth proportional to 2,248.32, 3,371.88 and 861.84 is: 1,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.32 : 3,371.88 = 861.84 : x
  2. Step 2: Convert to fraction form
    2,248.32/3,371.88 = 861.84/x
  3. Step 3: Cross multiply
    2,248.32x = 3,371.88 × 861.84
  4. Step 4: Simplify right side
    2,248.32x = 2,906,021.06
  5. Step 5: Solve for x
    x = 2,906,021.06/2,248.32
  6. Step 6: Final answer
    x = 1,292.53

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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.