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Finding the Fourth Proportional to 2,717.60, 4,077.07 and 769.82

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Solution

The fourth proportional to 2,717.60, 4,077.07 and 769.82 is: 1,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.60 : 4,077.07 = 769.82 : x
  2. Step 2: Convert to fraction form
    2,717.60/4,077.07 = 769.82/x
  3. Step 3: Cross multiply
    2,717.60x = 4,077.07 × 769.82
  4. Step 4: Simplify right side
    2,717.60x = 3,138,587.72
  5. Step 5: Solve for x
    x = 3,138,587.72/2,717.60
  6. Step 6: Final answer
    x = 1,154.91

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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.