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Finding the Fourth Proportional to 5,000, 6,896.94 and 3,936.20

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Solution

The fourth proportional to 5,000, 6,896.94 and 3,936.20 is: 5,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 6,896.94 = 3,936.20 : x
  2. Step 2: Convert to fraction form
    5,000/6,896.94 = 3,936.20/x
  3. Step 3: Cross multiply
    5,000x = 6,896.94 × 3,936.20
  4. Step 4: Simplify right side
    5,000x = 27,147,735.23
  5. Step 5: Solve for x
    x = 27,147,735.23/5,000
  6. Step 6: Final answer
    x = 5,429.55

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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.