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Finding the Fourth Proportional to 2,961.97, 4,092 and 2,214.64

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Solution

The fourth proportional to 2,961.97, 4,092 and 2,214.64 is: 3,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.97 : 4,092 = 2,214.64 : x
  2. Step 2: Convert to fraction form
    2,961.97/4,092 = 2,214.64/x
  3. Step 3: Cross multiply
    2,961.97x = 4,092 × 2,214.64
  4. Step 4: Simplify right side
    2,961.97x = 9,062,306.88
  5. Step 5: Solve for x
    x = 9,062,306.88/2,961.97
  6. Step 6: Final answer
    x = 3,059.55

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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.