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Finding the Fourth Proportional to 5,105.52, 7,651.14 and 2,760.46

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Solution

The fourth proportional to 5,105.52, 7,651.14 and 2,760.46 is: 4,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.52 : 7,651.14 = 2,760.46 : x
  2. Step 2: Convert to fraction form
    5,105.52/7,651.14 = 2,760.46/x
  3. Step 3: Cross multiply
    5,105.52x = 7,651.14 × 2,760.46
  4. Step 4: Simplify right side
    5,105.52x = 21,120,665.92
  5. Step 5: Solve for x
    x = 21,120,665.92/5,105.52
  6. Step 6: Final answer
    x = 4,136.83

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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.