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Finding the Fourth Proportional to 2,489.80, 3,728.22 and 1,329.88

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Solution

The fourth proportional to 2,489.80, 3,728.22 and 1,329.88 is: 1,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.80 : 3,728.22 = 1,329.88 : x
  2. Step 2: Convert to fraction form
    2,489.80/3,728.22 = 1,329.88/x
  3. Step 3: Cross multiply
    2,489.80x = 3,728.22 × 1,329.88
  4. Step 4: Simplify right side
    2,489.80x = 4,958,085.21
  5. Step 5: Solve for x
    x = 4,958,085.21/2,489.80
  6. Step 6: Final answer
    x = 1,991.36

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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.