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Finding the Fourth Proportional to 7,157.80, 10,738.53 and 2,227.48

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Solution

The fourth proportional to 7,157.80, 10,738.53 and 2,227.48 is: 3,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.80 : 10,738.53 = 2,227.48 : x
  2. Step 2: Convert to fraction form
    7,157.80/10,738.53 = 2,227.48/x
  3. Step 3: Cross multiply
    7,157.80x = 10,738.53 × 2,227.48
  4. Step 4: Simplify right side
    7,157.80x = 23,919,860.80
  5. Step 5: Solve for x
    x = 23,919,860.80/7,157.80
  6. Step 6: Final answer
    x = 3,341.79

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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.