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Finding the Fourth Proportional to 6,694.68, 9,239.31 and 3,900

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Solution

The fourth proportional to 6,694.68, 9,239.31 and 3,900 is: 5,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.68 : 9,239.31 = 3,900 : x
  2. Step 2: Convert to fraction form
    6,694.68/9,239.31 = 3,900/x
  3. Step 3: Cross multiply
    6,694.68x = 9,239.31 × 3,900
  4. Step 4: Simplify right side
    6,694.68x = 36,033,309
  5. Step 5: Solve for x
    x = 36,033,309/6,694.68
  6. Step 6: Final answer
    x = 5,382.38

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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.