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Finding the Fourth Proportional to 2,515.27, 3,772.91 and 871.82

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Solution

The fourth proportional to 2,515.27, 3,772.91 and 871.82 is: 1,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.27 : 3,772.91 = 871.82 : x
  2. Step 2: Convert to fraction form
    2,515.27/3,772.91 = 871.82/x
  3. Step 3: Cross multiply
    2,515.27x = 3,772.91 × 871.82
  4. Step 4: Simplify right side
    2,515.27x = 3,289,304.20
  5. Step 5: Solve for x
    x = 3,289,304.20/2,515.27
  6. Step 6: Final answer
    x = 1,307.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.