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Finding the Fourth Proportional to 1,951.92, 2,928.17 and 653.09

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Solution

The fourth proportional to 1,951.92, 2,928.17 and 653.09 is: 979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.92 : 2,928.17 = 653.09 : x
  2. Step 2: Convert to fraction form
    1,951.92/2,928.17 = 653.09/x
  3. Step 3: Cross multiply
    1,951.92x = 2,928.17 × 653.09
  4. Step 4: Simplify right side
    1,951.92x = 1,912,345.54
  5. Step 5: Solve for x
    x = 1,912,345.54/1,951.92
  6. Step 6: Final answer
    x = 979.73

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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.