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Finding the Fourth Proportional to 2,310.78, 3,463.86 and 849.54

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Solution

The fourth proportional to 2,310.78, 3,463.86 and 849.54 is: 1,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.78 : 3,463.86 = 849.54 : x
  2. Step 2: Convert to fraction form
    2,310.78/3,463.86 = 849.54/x
  3. Step 3: Cross multiply
    2,310.78x = 3,463.86 × 849.54
  4. Step 4: Simplify right side
    2,310.78x = 2,942,687.62
  5. Step 5: Solve for x
    x = 2,942,687.62/2,310.78
  6. Step 6: Final answer
    x = 1,273.46

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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.