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Finding the Fourth Proportional to 2,721, 3,761.38 and 2,478.12

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Solution

The fourth proportional to 2,721, 3,761.38 and 2,478.12 is: 3,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721 : 3,761.38 = 2,478.12 : x
  2. Step 2: Convert to fraction form
    2,721/3,761.38 = 2,478.12/x
  3. Step 3: Cross multiply
    2,721x = 3,761.38 × 2,478.12
  4. Step 4: Simplify right side
    2,721x = 9,321,151.01
  5. Step 5: Solve for x
    x = 9,321,151.01/2,721
  6. Step 6: Final answer
    x = 3,425.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.