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Finding the Fourth Proportional to 2,227.26, 3,340.92 and 766.41

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Solution

The fourth proportional to 2,227.26, 3,340.92 and 766.41 is: 1,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.26 : 3,340.92 = 766.41 : x
  2. Step 2: Convert to fraction form
    2,227.26/3,340.92 = 766.41/x
  3. Step 3: Cross multiply
    2,227.26x = 3,340.92 × 766.41
  4. Step 4: Simplify right side
    2,227.26x = 2,560,514.50
  5. Step 5: Solve for x
    x = 2,560,514.50/2,227.26
  6. Step 6: Final answer
    x = 1,149.63

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1.5x scale

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.