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Finding the Fourth Proportional to 11,906.42, 16,439.37 and 7,936.88

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Solution

The fourth proportional to 11,906.42, 16,439.37 and 7,936.88 is: 10,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.42 : 16,439.37 = 7,936.88 : x
  2. Step 2: Convert to fraction form
    11,906.42/16,439.37 = 7,936.88/x
  3. Step 3: Cross multiply
    11,906.42x = 16,439.37 × 7,936.88
  4. Step 4: Simplify right side
    11,906.42x = 130,477,306.97
  5. Step 5: Solve for x
    x = 130,477,306.97/11,906.42
  6. Step 6: Final answer
    x = 10,958.57

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1.5x scale

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.