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Finding the Fourth Proportional to 3,958.94, 5,938.41 and 1,185.91

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Solution

The fourth proportional to 3,958.94, 5,938.41 and 1,185.91 is: 1,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.94 : 5,938.41 = 1,185.91 : x
  2. Step 2: Convert to fraction form
    3,958.94/5,938.41 = 1,185.91/x
  3. Step 3: Cross multiply
    3,958.94x = 5,938.41 × 1,185.91
  4. Step 4: Simplify right side
    3,958.94x = 7,042,409.40
  5. Step 5: Solve for x
    x = 7,042,409.40/3,958.94
  6. Step 6: Final answer
    x = 1,778.86

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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.