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Finding the Fourth Proportional to 2,150.12, 3,224.92 and 611

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Solution

The fourth proportional to 2,150.12, 3,224.92 and 611 is: 916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.12 : 3,224.92 = 611 : x
  2. Step 2: Convert to fraction form
    2,150.12/3,224.92 = 611/x
  3. Step 3: Cross multiply
    2,150.12x = 3,224.92 × 611
  4. Step 4: Simplify right side
    2,150.12x = 1,970,426.12
  5. Step 5: Solve for x
    x = 1,970,426.12/2,150.12
  6. Step 6: Final answer
    x = 916.43

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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.