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Finding the Fourth Proportional to 2,744.70, 3,789.48 and 2,449.50

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Solution

The fourth proportional to 2,744.70, 3,789.48 and 2,449.50 is: 3,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 3,789.48 = 2,449.50 : x
  2. Step 2: Convert to fraction form
    2,744.70/3,789.48 = 2,449.50/x
  3. Step 3: Cross multiply
    2,744.70x = 3,789.48 × 2,449.50
  4. Step 4: Simplify right side
    2,744.70x = 9,282,331.26
  5. Step 5: Solve for x
    x = 9,282,331.26/2,744.70
  6. Step 6: Final answer
    x = 3,381.91

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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.