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Finding the Fourth Proportional to 7,936.56, 10,942.07 and 6,829.38

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Solution

The fourth proportional to 7,936.56, 10,942.07 and 6,829.38 is: 9,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.56 : 10,942.07 = 6,829.38 : x
  2. Step 2: Convert to fraction form
    7,936.56/10,942.07 = 6,829.38/x
  3. Step 3: Cross multiply
    7,936.56x = 10,942.07 × 6,829.38
  4. Step 4: Simplify right side
    7,936.56x = 74,727,519.87
  5. Step 5: Solve for x
    x = 74,727,519.87/7,936.56
  6. Step 6: Final answer
    x = 9,415.61

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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.