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Finding the Fourth Proportional to 6,744, 10,116 and 3,096

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Solution

The fourth proportional to 6,744, 10,116 and 3,096 is: 4,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 10,116 = 3,096 : x
  2. Step 2: Convert to fraction form
    6,744/10,116 = 3,096/x
  3. Step 3: Cross multiply
    6,744x = 10,116 × 3,096
  4. Step 4: Simplify right side
    6,744x = 31,319,136
  5. Step 5: Solve for x
    x = 31,319,136/6,744
  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.