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Finding the Fourth Proportional to 3,890.78, 5,836.26 and 1,293.92

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Solution

The fourth proportional to 3,890.78, 5,836.26 and 1,293.92 is: 1,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.78 : 5,836.26 = 1,293.92 : x
  2. Step 2: Convert to fraction form
    3,890.78/5,836.26 = 1,293.92/x
  3. Step 3: Cross multiply
    3,890.78x = 5,836.26 × 1,293.92
  4. Step 4: Simplify right side
    3,890.78x = 7,551,653.54
  5. Step 5: Solve for x
    x = 7,551,653.54/3,890.78
  6. Step 6: Final answer
    x = 1,940.91

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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.