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Finding the Fourth Proportional to 2,722.78, 3,757.80 and 1,979.20

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Solution

The fourth proportional to 2,722.78, 3,757.80 and 1,979.20 is: 2,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.78 : 3,757.80 = 1,979.20 : x
  2. Step 2: Convert to fraction form
    2,722.78/3,757.80 = 1,979.20/x
  3. Step 3: Cross multiply
    2,722.78x = 3,757.80 × 1,979.20
  4. Step 4: Simplify right side
    2,722.78x = 7,437,437.76
  5. Step 5: Solve for x
    x = 7,437,437.76/2,722.78
  6. Step 6: Final answer
    x = 2,731.56

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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.