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Finding the Fourth Proportional to 2,650.55, 3,974.24 and 1,007.21

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Solution

The fourth proportional to 2,650.55, 3,974.24 and 1,007.21 is: 1,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.55 : 3,974.24 = 1,007.21 : x
  2. Step 2: Convert to fraction form
    2,650.55/3,974.24 = 1,007.21/x
  3. Step 3: Cross multiply
    2,650.55x = 3,974.24 × 1,007.21
  4. Step 4: Simplify right side
    2,650.55x = 4,002,906.72
  5. Step 5: Solve for x
    x = 4,002,906.72/2,650.55
  6. Step 6: Final answer
    x = 1,510.22

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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.