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Finding the Fourth Proportional to 3,286.92, 4,930.38 and 978.60

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Solution

The fourth proportional to 3,286.92, 4,930.38 and 978.60 is: 1,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.92 : 4,930.38 = 978.60 : x
  2. Step 2: Convert to fraction form
    3,286.92/4,930.38 = 978.60/x
  3. Step 3: Cross multiply
    3,286.92x = 4,930.38 × 978.60
  4. Step 4: Simplify right side
    3,286.92x = 4,824,869.87
  5. Step 5: Solve for x
    x = 4,824,869.87/3,286.92
  6. Step 6: Final answer
    x = 1,467.90

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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.