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Finding the Fourth Proportional to 3,638.92, 5,453.95 and 1,661.83

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Solution

The fourth proportional to 3,638.92, 5,453.95 and 1,661.83 is: 2,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.92 : 5,453.95 = 1,661.83 : x
  2. Step 2: Convert to fraction form
    3,638.92/5,453.95 = 1,661.83/x
  3. Step 3: Cross multiply
    3,638.92x = 5,453.95 × 1,661.83
  4. Step 4: Simplify right side
    3,638.92x = 9,063,537.73
  5. Step 5: Solve for x
    x = 9,063,537.73/3,638.92
  6. Step 6: Final answer
    x = 2,490.72

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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.