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Finding the Fourth Proportional to 7,940.84, 11,906.64 and 5,311.31

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Solution

The fourth proportional to 7,940.84, 11,906.64 and 5,311.31 is: 7,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.84 : 11,906.64 = 5,311.31 : x
  2. Step 2: Convert to fraction form
    7,940.84/11,906.64 = 5,311.31/x
  3. Step 3: Cross multiply
    7,940.84x = 11,906.64 × 5,311.31
  4. Step 4: Simplify right side
    7,940.84x = 63,239,796.57
  5. Step 5: Solve for x
    x = 63,239,796.57/7,940.84
  6. Step 6: Final answer
    x = 7,963.87

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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.