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Finding the Fourth Proportional to 3,794.97, 5,689.88 and 1,328.43

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Solution

The fourth proportional to 3,794.97, 5,689.88 and 1,328.43 is: 1,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.97 : 5,689.88 = 1,328.43 : x
  2. Step 2: Convert to fraction form
    3,794.97/5,689.88 = 1,328.43/x
  3. Step 3: Cross multiply
    3,794.97x = 5,689.88 × 1,328.43
  4. Step 4: Simplify right side
    3,794.97x = 7,558,600.65
  5. Step 5: Solve for x
    x = 7,558,600.65/3,794.97
  6. Step 6: Final answer
    x = 1,991.74

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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.