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Finding the Fourth Proportional to 1,951.89, 2,928.24 and 635.97

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Solution

The fourth proportional to 1,951.89, 2,928.24 and 635.97 is: 954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.89 : 2,928.24 = 635.97 : x
  2. Step 2: Convert to fraction form
    1,951.89/2,928.24 = 635.97/x
  3. Step 3: Cross multiply
    1,951.89x = 2,928.24 × 635.97
  4. Step 4: Simplify right side
    1,951.89x = 1,862,272.79
  5. Step 5: Solve for x
    x = 1,862,272.79/1,951.89
  6. Step 6: Final answer
    x = 954.09

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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.