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Finding the Fourth Proportional to 2,202.72, 3,304.19 and 1,105.80

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Solution

The fourth proportional to 2,202.72, 3,304.19 and 1,105.80 is: 1,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.72 : 3,304.19 = 1,105.80 : x
  2. Step 2: Convert to fraction form
    2,202.72/3,304.19 = 1,105.80/x
  3. Step 3: Cross multiply
    2,202.72x = 3,304.19 × 1,105.80
  4. Step 4: Simplify right side
    2,202.72x = 3,653,782.26
  5. Step 5: Solve for x
    x = 3,653,782.26/2,202.72
  6. Step 6: Final answer
    x = 1,658.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.