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Finding the Fourth Proportional to 2,768.78, 4,154.49 and 1,728.50

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Solution

The fourth proportional to 2,768.78, 4,154.49 and 1,728.50 is: 2,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.78 : 4,154.49 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    2,768.78/4,154.49 = 1,728.50/x
  3. Step 3: Cross multiply
    2,768.78x = 4,154.49 × 1,728.50
  4. Step 4: Simplify right side
    2,768.78x = 7,181,035.97
  5. Step 5: Solve for x
    x = 7,181,035.97/2,768.78
  6. Step 6: Final answer
    x = 2,593.57

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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.