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Finding the Fourth Proportional to 2,744.80, 4,111.80 and 2,550.40

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Solution

The fourth proportional to 2,744.80, 4,111.80 and 2,550.40 is: 3,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.80 : 4,111.80 = 2,550.40 : x
  2. Step 2: Convert to fraction form
    2,744.80/4,111.80 = 2,550.40/x
  3. Step 3: Cross multiply
    2,744.80x = 4,111.80 × 2,550.40
  4. Step 4: Simplify right side
    2,744.80x = 10,486,734.72
  5. Step 5: Solve for x
    x = 10,486,734.72/2,744.80
  6. Step 6: Final answer
    x = 3,820.58

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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.