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Finding the Fourth Proportional to 2,728.98, 3,757.05 and 2,489.22

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Solution

The fourth proportional to 2,728.98, 3,757.05 and 2,489.22 is: 3,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.98 : 3,757.05 = 2,489.22 : x
  2. Step 2: Convert to fraction form
    2,728.98/3,757.05 = 2,489.22/x
  3. Step 3: Cross multiply
    2,728.98x = 3,757.05 × 2,489.22
  4. Step 4: Simplify right side
    2,728.98x = 9,352,124.00
  5. Step 5: Solve for x
    x = 9,352,124.00/2,728.98
  6. Step 6: Final answer
    x = 3,426.97

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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.