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Finding the Fourth Proportional to 1,939.60, 2,906.97 and 965.44

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Solution

The fourth proportional to 1,939.60, 2,906.97 and 965.44 is: 1,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.60 : 2,906.97 = 965.44 : x
  2. Step 2: Convert to fraction form
    1,939.60/2,906.97 = 965.44/x
  3. Step 3: Cross multiply
    1,939.60x = 2,906.97 × 965.44
  4. Step 4: Simplify right side
    1,939.60x = 2,806,505.12
  5. Step 5: Solve for x
    x = 2,806,505.12/1,939.60
  6. Step 6: Final answer
    x = 1,446.95

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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.