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Finding the Fourth Proportional to 2,785.92, 4,179.09 and 937.04

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Solution

The fourth proportional to 2,785.92, 4,179.09 and 937.04 is: 1,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.92 : 4,179.09 = 937.04 : x
  2. Step 2: Convert to fraction form
    2,785.92/4,179.09 = 937.04/x
  3. Step 3: Cross multiply
    2,785.92x = 4,179.09 × 937.04
  4. Step 4: Simplify right side
    2,785.92x = 3,915,974.49
  5. Step 5: Solve for x
    x = 3,915,974.49/2,785.92
  6. Step 6: Final answer
    x = 1,405.63

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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.