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Finding the Fourth Proportional to 5,936.38, 8,192.22 and 3,579.01

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Solution

The fourth proportional to 5,936.38, 8,192.22 and 3,579.01 is: 4,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.38 : 8,192.22 = 3,579.01 : x
  2. Step 2: Convert to fraction form
    5,936.38/8,192.22 = 3,579.01/x
  3. Step 3: Cross multiply
    5,936.38x = 8,192.22 × 3,579.01
  4. Step 4: Simplify right side
    5,936.38x = 29,320,037.30
  5. Step 5: Solve for x
    x = 29,320,037.30/5,936.38
  6. Step 6: Final answer
    x = 4,939.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.