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Finding the Fourth Proportional to 2,773.82, 4,160.73 and 1,310.96

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Solution

The fourth proportional to 2,773.82, 4,160.73 and 1,310.96 is: 1,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.82 : 4,160.73 = 1,310.96 : x
  2. Step 2: Convert to fraction form
    2,773.82/4,160.73 = 1,310.96/x
  3. Step 3: Cross multiply
    2,773.82x = 4,160.73 × 1,310.96
  4. Step 4: Simplify right side
    2,773.82x = 5,454,550.60
  5. Step 5: Solve for x
    x = 5,454,550.60/2,773.82
  6. Step 6: Final answer
    x = 1,966.44

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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.