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Finding the Fourth Proportional to 7,960, 11,944.38 and 3,856

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Solution

The fourth proportional to 7,960, 11,944.38 and 3,856 is: 5,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960 : 11,944.38 = 3,856 : x
  2. Step 2: Convert to fraction form
    7,960/11,944.38 = 3,856/x
  3. Step 3: Cross multiply
    7,960x = 11,944.38 × 3,856
  4. Step 4: Simplify right side
    7,960x = 46,057,529.28
  5. Step 5: Solve for x
    x = 46,057,529.28/7,960
  6. Step 6: Final answer
    x = 5,786.12

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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.