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Finding the Fourth Proportional to 7,168.25, 10,755.11 and 2,786.05

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Solution

The fourth proportional to 7,168.25, 10,755.11 and 2,786.05 is: 4,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.25 : 10,755.11 = 2,786.05 : x
  2. Step 2: Convert to fraction form
    7,168.25/10,755.11 = 2,786.05/x
  3. Step 3: Cross multiply
    7,168.25x = 10,755.11 × 2,786.05
  4. Step 4: Simplify right side
    7,168.25x = 29,964,274.22
  5. Step 5: Solve for x
    x = 29,964,274.22/7,168.25
  6. Step 6: Final answer
    x = 4,180.14

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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.