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Finding the Fourth Proportional to 7,717.87, 11,571.94 and 5,082.54

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Solution

The fourth proportional to 7,717.87, 11,571.94 and 5,082.54 is: 7,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.87 : 11,571.94 = 5,082.54 : x
  2. Step 2: Convert to fraction form
    7,717.87/11,571.94 = 5,082.54/x
  3. Step 3: Cross multiply
    7,717.87x = 11,571.94 × 5,082.54
  4. Step 4: Simplify right side
    7,717.87x = 58,814,847.93
  5. Step 5: Solve for x
    x = 58,814,847.93/7,717.87
  6. Step 6: Final answer
    x = 7,620.61

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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.