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Finding the Fourth Proportional to 7,940.78, 11,912.43 and 2,747.06

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Solution

The fourth proportional to 7,940.78, 11,912.43 and 2,747.06 is: 4,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.78 : 11,912.43 = 2,747.06 : x
  2. Step 2: Convert to fraction form
    7,940.78/11,912.43 = 2,747.06/x
  3. Step 3: Cross multiply
    7,940.78x = 11,912.43 × 2,747.06
  4. Step 4: Simplify right side
    7,940.78x = 32,724,159.96
  5. Step 5: Solve for x
    x = 32,724,159.96/7,940.78
  6. Step 6: Final answer
    x = 4,121.03

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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.