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Finding the Fourth Proportional to 2,769.80, 4,138.50 and 2,672.94

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Solution

The fourth proportional to 2,769.80, 4,138.50 and 2,672.94 is: 3,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.80 : 4,138.50 = 2,672.94 : x
  2. Step 2: Convert to fraction form
    2,769.80/4,138.50 = 2,672.94/x
  3. Step 3: Cross multiply
    2,769.80x = 4,138.50 × 2,672.94
  4. Step 4: Simplify right side
    2,769.80x = 11,061,962.19
  5. Step 5: Solve for x
    x = 11,061,962.19/2,769.80
  6. Step 6: Final answer
    x = 3,993.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.