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Finding the Fourth Proportional to 7,243.87, 10,868.10 and 3,546.49

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Solution

The fourth proportional to 7,243.87, 10,868.10 and 3,546.49 is: 5,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.87 : 10,868.10 = 3,546.49 : x
  2. Step 2: Convert to fraction form
    7,243.87/10,868.10 = 3,546.49/x
  3. Step 3: Cross multiply
    7,243.87x = 10,868.10 × 3,546.49
  4. Step 4: Simplify right side
    7,243.87x = 38,543,607.97
  5. Step 5: Solve for x
    x = 38,543,607.97/7,243.87
  6. Step 6: Final answer
    x = 5,320.86

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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.