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Finding the Fourth Proportional to 2,729.52, 3,765.72 and 1,549.68

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Solution

The fourth proportional to 2,729.52, 3,765.72 and 1,549.68 is: 2,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.52 : 3,765.72 = 1,549.68 : x
  2. Step 2: Convert to fraction form
    2,729.52/3,765.72 = 1,549.68/x
  3. Step 3: Cross multiply
    2,729.52x = 3,765.72 × 1,549.68
  4. Step 4: Simplify right side
    2,729.52x = 5,835,660.97
  5. Step 5: Solve for x
    x = 5,835,660.97/2,729.52
  6. Step 6: Final answer
    x = 2,137.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.