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Finding the Fourth Proportional to 3,952.89, 5,448.71 and 3,112.26

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Solution

The fourth proportional to 3,952.89, 5,448.71 and 3,112.26 is: 4,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.89 : 5,448.71 = 3,112.26 : x
  2. Step 2: Convert to fraction form
    3,952.89/5,448.71 = 3,112.26/x
  3. Step 3: Cross multiply
    3,952.89x = 5,448.71 × 3,112.26
  4. Step 4: Simplify right side
    3,952.89x = 16,957,790.64
  5. Step 5: Solve for x
    x = 16,957,790.64/3,952.89
  6. Step 6: Final answer
    x = 4,289.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.