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Finding the Fourth Proportional to 2,310.54, 3,463.83 and 849.39

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Solution

The fourth proportional to 2,310.54, 3,463.83 and 849.39 is: 1,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.54 : 3,463.83 = 849.39 : x
  2. Step 2: Convert to fraction form
    2,310.54/3,463.83 = 849.39/x
  3. Step 3: Cross multiply
    2,310.54x = 3,463.83 × 849.39
  4. Step 4: Simplify right side
    2,310.54x = 2,942,142.56
  5. Step 5: Solve for x
    x = 2,942,142.56/2,310.54
  6. Step 6: Final answer
    x = 1,273.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.