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Finding the Fourth Proportional to 7,941.25, 11,911.88 and 3,324.25

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Solution

The fourth proportional to 7,941.25, 11,911.88 and 3,324.25 is: 4,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.25 : 11,911.88 = 3,324.25 : x
  2. Step 2: Convert to fraction form
    7,941.25/11,911.88 = 3,324.25/x
  3. Step 3: Cross multiply
    7,941.25x = 11,911.88 × 3,324.25
  4. Step 4: Simplify right side
    7,941.25x = 39,598,067.09
  5. Step 5: Solve for x
    x = 39,598,067.09/7,941.25
  6. Step 6: Final answer
    x = 4,986.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.