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Finding the Fourth Proportional to 2,626.41, 3,940.08 and 871.52

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Solution

The fourth proportional to 2,626.41, 3,940.08 and 871.52 is: 1,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.41 : 3,940.08 = 871.52 : x
  2. Step 2: Convert to fraction form
    2,626.41/3,940.08 = 871.52/x
  3. Step 3: Cross multiply
    2,626.41x = 3,940.08 × 871.52
  4. Step 4: Simplify right side
    2,626.41x = 3,433,842.66
  5. Step 5: Solve for x
    x = 3,433,842.66/2,626.41
  6. Step 6: Final answer
    x = 1,307.43

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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.