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Finding the Fourth Proportional to 2,202.02, 3,300.17 and 1,680.09

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Solution

The fourth proportional to 2,202.02, 3,300.17 and 1,680.09 is: 2,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.02 : 3,300.17 = 1,680.09 : x
  2. Step 2: Convert to fraction form
    2,202.02/3,300.17 = 1,680.09/x
  3. Step 3: Cross multiply
    2,202.02x = 3,300.17 × 1,680.09
  4. Step 4: Simplify right side
    2,202.02x = 5,544,586.82
  5. Step 5: Solve for x
    x = 5,544,586.82/2,202.02
  6. Step 6: Final answer
    x = 2,517.96

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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.