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Finding the Fourth Proportional to 3,243.87, 4,472.12 and 2,296.83

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Solution

The fourth proportional to 3,243.87, 4,472.12 and 2,296.83 is: 3,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.87 : 4,472.12 = 2,296.83 : x
  2. Step 2: Convert to fraction form
    3,243.87/4,472.12 = 2,296.83/x
  3. Step 3: Cross multiply
    3,243.87x = 4,472.12 × 2,296.83
  4. Step 4: Simplify right side
    3,243.87x = 10,271,687.90
  5. Step 5: Solve for x
    x = 10,271,687.90/3,243.87
  6. Step 6: Final answer
    x = 3,166.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.