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Finding the Fourth Proportional to 7,940.78, 11,912.11 and 2,097.44

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Solution

The fourth proportional to 7,940.78, 11,912.11 and 2,097.44 is: 3,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.78 : 11,912.11 = 2,097.44 : x
  2. Step 2: Convert to fraction form
    7,940.78/11,912.11 = 2,097.44/x
  3. Step 3: Cross multiply
    7,940.78x = 11,912.11 × 2,097.44
  4. Step 4: Simplify right side
    7,940.78x = 24,984,936.00
  5. Step 5: Solve for x
    x = 24,984,936.00/7,940.78
  6. Step 6: Final answer
    x = 3,146.41

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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.