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Finding the Fourth Proportional to 6,756, 9,323.28 and 3,812

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Solution

The fourth proportional to 6,756, 9,323.28 and 3,812 is: 5,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756 : 9,323.28 = 3,812 : x
  2. Step 2: Convert to fraction form
    6,756/9,323.28 = 3,812/x
  3. Step 3: Cross multiply
    6,756x = 9,323.28 × 3,812
  4. Step 4: Simplify right side
    6,756x = 35,540,343.36
  5. Step 5: Solve for x
    x = 35,540,343.36/6,756
  6. Step 6: Final answer
    x = 5,260.56

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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.