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Finding the Fourth Proportional to 3,891.44, 5,836.44 and 1,293.68

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Solution

The fourth proportional to 3,891.44, 5,836.44 and 1,293.68 is: 1,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.44 : 5,836.44 = 1,293.68 : x
  2. Step 2: Convert to fraction form
    3,891.44/5,836.44 = 1,293.68/x
  3. Step 3: Cross multiply
    3,891.44x = 5,836.44 × 1,293.68
  4. Step 4: Simplify right side
    3,891.44x = 7,550,485.70
  5. Step 5: Solve for x
    x = 7,550,485.70/3,891.44
  6. Step 6: Final answer
    x = 1,940.28

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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.