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Finding the Fourth Proportional to 7,912.94, 11,871.41 and 2,982.62

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Solution

The fourth proportional to 7,912.94, 11,871.41 and 2,982.62 is: 4,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.94 : 11,871.41 = 2,982.62 : x
  2. Step 2: Convert to fraction form
    7,912.94/11,871.41 = 2,982.62/x
  3. Step 3: Cross multiply
    7,912.94x = 11,871.41 × 2,982.62
  4. Step 4: Simplify right side
    7,912.94x = 35,407,936.44
  5. Step 5: Solve for x
    x = 35,407,936.44/7,912.94
  6. Step 6: Final answer
    x = 4,474.69

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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.