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Finding the Fourth Proportional to 6,409.82, 8,844.04 and 3,891.88

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Solution

The fourth proportional to 6,409.82, 8,844.04 and 3,891.88 is: 5,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.82 : 8,844.04 = 3,891.88 : x
  2. Step 2: Convert to fraction form
    6,409.82/8,844.04 = 3,891.88/x
  3. Step 3: Cross multiply
    6,409.82x = 8,844.04 × 3,891.88
  4. Step 4: Simplify right side
    6,409.82x = 34,419,942.40
  5. Step 5: Solve for x
    x = 34,419,942.40/6,409.82
  6. Step 6: Final answer
    x = 5,369.88

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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.