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Finding the Fourth Proportional to 7,960, 11,940 and 3,096

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Solution

The fourth proportional to 7,960, 11,940 and 3,096 is: 4,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960 : 11,940 = 3,096 : x
  2. Step 2: Convert to fraction form
    7,960/11,940 = 3,096/x
  3. Step 3: Cross multiply
    7,960x = 11,940 × 3,096
  4. Step 4: Simplify right side
    7,960x = 36,966,240
  5. Step 5: Solve for x
    x = 36,966,240/7,960
  6. Step 6: Final answer
    x = 4,644

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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.