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Finding the Fourth Proportional to 2,769.54, 3,838.46 and 2,717.70

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Solution

The fourth proportional to 2,769.54, 3,838.46 and 2,717.70 is: 3,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.54 : 3,838.46 = 2,717.70 : x
  2. Step 2: Convert to fraction form
    2,769.54/3,838.46 = 2,717.70/x
  3. Step 3: Cross multiply
    2,769.54x = 3,838.46 × 2,717.70
  4. Step 4: Simplify right side
    2,769.54x = 10,431,782.74
  5. Step 5: Solve for x
    x = 10,431,782.74/2,769.54
  6. Step 6: Final answer
    x = 3,766.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.