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Finding the Fourth Proportional to 2,757.78, 4,138.02 and 1,297.05

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Solution

The fourth proportional to 2,757.78, 4,138.02 and 1,297.05 is: 1,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 4,138.02 = 1,297.05 : x
  2. Step 2: Convert to fraction form
    2,757.78/4,138.02 = 1,297.05/x
  3. Step 3: Cross multiply
    2,757.78x = 4,138.02 × 1,297.05
  4. Step 4: Simplify right side
    2,757.78x = 5,367,218.84
  5. Step 5: Solve for x
    x = 5,367,218.84/2,757.78
  6. Step 6: Final answer
    x = 1,946.21

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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.