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Finding the Fourth Proportional to 6,896, 9,516.97 and 3,912.09

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Solution

The fourth proportional to 6,896, 9,516.97 and 3,912.09 is: 5,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 9,516.97 = 3,912.09 : x
  2. Step 2: Convert to fraction form
    6,896/9,516.97 = 3,912.09/x
  3. Step 3: Cross multiply
    6,896x = 9,516.97 × 3,912.09
  4. Step 4: Simplify right side
    6,896x = 37,231,243.17
  5. Step 5: Solve for x
    x = 37,231,243.17/6,896
  6. Step 6: Final answer
    x = 5,398.96

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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.