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Finding the Fourth Proportional to 2,797.26, 4,205.22 and 1,981.38

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Solution

The fourth proportional to 2,797.26, 4,205.22 and 1,981.38 is: 2,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.26 : 4,205.22 = 1,981.38 : x
  2. Step 2: Convert to fraction form
    2,797.26/4,205.22 = 1,981.38/x
  3. Step 3: Cross multiply
    2,797.26x = 4,205.22 × 1,981.38
  4. Step 4: Simplify right side
    2,797.26x = 8,332,138.80
  5. Step 5: Solve for x
    x = 8,332,138.80/2,797.26
  6. Step 6: Final answer
    x = 2,978.68

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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.