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Finding the Fourth Proportional to 7,274.72, 10,912.46 and 3,761

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Solution

The fourth proportional to 7,274.72, 10,912.46 and 3,761 is: 5,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.72 : 10,912.46 = 3,761 : x
  2. Step 2: Convert to fraction form
    7,274.72/10,912.46 = 3,761/x
  3. Step 3: Cross multiply
    7,274.72x = 10,912.46 × 3,761
  4. Step 4: Simplify right side
    7,274.72x = 41,041,762.06
  5. Step 5: Solve for x
    x = 41,041,762.06/7,274.72
  6. Step 6: Final answer
    x = 5,641.70

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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.