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Finding the Fourth Proportional to 7,796.89, 11,691.14 and 3,409.22

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Solution

The fourth proportional to 7,796.89, 11,691.14 and 3,409.22 is: 5,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.89 : 11,691.14 = 3,409.22 : x
  2. Step 2: Convert to fraction form
    7,796.89/11,691.14 = 3,409.22/x
  3. Step 3: Cross multiply
    7,796.89x = 11,691.14 × 3,409.22
  4. Step 4: Simplify right side
    7,796.89x = 39,857,680.49
  5. Step 5: Solve for x
    x = 39,857,680.49/7,796.89
  6. Step 6: Final answer
    x = 5,112.00

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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.