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Finding the Fourth Proportional to 3,637.44, 5,449.20 and 2,982.88

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Solution

The fourth proportional to 3,637.44, 5,449.20 and 2,982.88 is: 4,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.44 : 5,449.20 = 2,982.88 : x
  2. Step 2: Convert to fraction form
    3,637.44/5,449.20 = 2,982.88/x
  3. Step 3: Cross multiply
    3,637.44x = 5,449.20 × 2,982.88
  4. Step 4: Simplify right side
    3,637.44x = 16,254,309.70
  5. Step 5: Solve for x
    x = 16,254,309.70/3,637.44
  6. Step 6: Final answer
    x = 4,468.61

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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.