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Finding the Fourth Proportional to 1,961.78, 2,942.74 and 663.26

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Solution

The fourth proportional to 1,961.78, 2,942.74 and 663.26 is: 994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.78 : 2,942.74 = 663.26 : x
  2. Step 2: Convert to fraction form
    1,961.78/2,942.74 = 663.26/x
  3. Step 3: Cross multiply
    1,961.78x = 2,942.74 × 663.26
  4. Step 4: Simplify right side
    1,961.78x = 1,951,801.73
  5. Step 5: Solve for x
    x = 1,951,801.73/1,961.78
  6. Step 6: Final answer
    x = 994.91

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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.