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Finding the Fourth Proportional to 2,873, 3,965.28 and 1,631

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Solution

The fourth proportional to 2,873, 3,965.28 and 1,631 is: 2,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873 : 3,965.28 = 1,631 : x
  2. Step 2: Convert to fraction form
    2,873/3,965.28 = 1,631/x
  3. Step 3: Cross multiply
    2,873x = 3,965.28 × 1,631
  4. Step 4: Simplify right side
    2,873x = 6,467,371.68
  5. Step 5: Solve for x
    x = 6,467,371.68/2,873
  6. Step 6: Final answer
    x = 2,251.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.