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Finding the Fourth Proportional to 2,716.54, 4,074.09 and 768.85

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Solution

The fourth proportional to 2,716.54, 4,074.09 and 768.85 is: 1,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.54 : 4,074.09 = 768.85 : x
  2. Step 2: Convert to fraction form
    2,716.54/4,074.09 = 768.85/x
  3. Step 3: Cross multiply
    2,716.54x = 4,074.09 × 768.85
  4. Step 4: Simplify right side
    2,716.54x = 3,132,364.10
  5. Step 5: Solve for x
    x = 3,132,364.10/2,716.54
  6. Step 6: Final answer
    x = 1,153.07

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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.