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Finding the Fourth Proportional to 2,717.66, 4,076.50 and 769.87

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Solution

The fourth proportional to 2,717.66, 4,076.50 and 769.87 is: 1,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.66 : 4,076.50 = 769.87 : x
  2. Step 2: Convert to fraction form
    2,717.66/4,076.50 = 769.87/x
  3. Step 3: Cross multiply
    2,717.66x = 4,076.50 × 769.87
  4. Step 4: Simplify right side
    2,717.66x = 3,138,375.06
  5. Step 5: Solve for x
    x = 3,138,375.06/2,717.66
  6. Step 6: Final answer
    x = 1,154.81

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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.