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Finding the Fourth Proportional to 3,243.81, 4,861.61 and 2,201.22

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Solution

The fourth proportional to 3,243.81, 4,861.61 and 2,201.22 is: 3,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.81 : 4,861.61 = 2,201.22 : x
  2. Step 2: Convert to fraction form
    3,243.81/4,861.61 = 2,201.22/x
  3. Step 3: Cross multiply
    3,243.81x = 4,861.61 × 2,201.22
  4. Step 4: Simplify right side
    3,243.81x = 10,701,462.16
  5. Step 5: Solve for x
    x = 10,701,462.16/3,243.81
  6. Step 6: Final answer
    x = 3,299.04

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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.