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Finding the Fourth Proportional to 6,822, 9,414.36 and 3,878

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Solution

The fourth proportional to 6,822, 9,414.36 and 3,878 is: 5,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822 : 9,414.36 = 3,878 : x
  2. Step 2: Convert to fraction form
    6,822/9,414.36 = 3,878/x
  3. Step 3: Cross multiply
    6,822x = 9,414.36 × 3,878
  4. Step 4: Simplify right side
    6,822x = 36,508,888.08
  5. Step 5: Solve for x
    x = 36,508,888.08/6,822
  6. Step 6: Final answer
    x = 5,351.64

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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.