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Finding the Fourth Proportional to 7,161.80, 10,736.22 and 2,543.72

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Solution

The fourth proportional to 7,161.80, 10,736.22 and 2,543.72 is: 3,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.80 : 10,736.22 = 2,543.72 : x
  2. Step 2: Convert to fraction form
    7,161.80/10,736.22 = 2,543.72/x
  3. Step 3: Cross multiply
    7,161.80x = 10,736.22 × 2,543.72
  4. Step 4: Simplify right side
    7,161.80x = 27,309,937.54
  5. Step 5: Solve for x
    x = 27,309,937.54/7,161.80
  6. Step 6: Final answer
    x = 3,813.28

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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.