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Finding the Fourth Proportional to 2,611.72, 3,920.92 and 2,243.88

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Solution

The fourth proportional to 2,611.72, 3,920.92 and 2,243.88 is: 3,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.72 : 3,920.92 = 2,243.88 : x
  2. Step 2: Convert to fraction form
    2,611.72/3,920.92 = 2,243.88/x
  3. Step 3: Cross multiply
    2,611.72x = 3,920.92 × 2,243.88
  4. Step 4: Simplify right side
    2,611.72x = 8,798,073.97
  5. Step 5: Solve for x
    x = 8,798,073.97/2,611.72
  6. Step 6: Final answer
    x = 3,368.69

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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.