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Finding the Fourth Proportional to 2,652.88, 3,977.97 and 1,961.14

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Solution

The fourth proportional to 2,652.88, 3,977.97 and 1,961.14 is: 2,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.88 : 3,977.97 = 1,961.14 : x
  2. Step 2: Convert to fraction form
    2,652.88/3,977.97 = 1,961.14/x
  3. Step 3: Cross multiply
    2,652.88x = 3,977.97 × 1,961.14
  4. Step 4: Simplify right side
    2,652.88x = 7,801,356.09
  5. Step 5: Solve for x
    x = 7,801,356.09/2,652.88
  6. Step 6: Final answer
    x = 2,940.71

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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.