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Finding the Fourth Proportional to 3,638.66, 5,453.82 and 1,659.88

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Solution

The fourth proportional to 3,638.66, 5,453.82 and 1,659.88 is: 2,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.66 : 5,453.82 = 1,659.88 : x
  2. Step 2: Convert to fraction form
    3,638.66/5,453.82 = 1,659.88/x
  3. Step 3: Cross multiply
    3,638.66x = 5,453.82 × 1,659.88
  4. Step 4: Simplify right side
    3,638.66x = 9,052,686.74
  5. Step 5: Solve for x
    x = 9,052,686.74/3,638.66
  6. Step 6: Final answer
    x = 2,487.92

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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.