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Finding the Fourth Proportional to 2,227.37, 3,074.10 and 1,282.98

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Solution

The fourth proportional to 2,227.37, 3,074.10 and 1,282.98 is: 1,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.37 : 3,074.10 = 1,282.98 : x
  2. Step 2: Convert to fraction form
    2,227.37/3,074.10 = 1,282.98/x
  3. Step 3: Cross multiply
    2,227.37x = 3,074.10 × 1,282.98
  4. Step 4: Simplify right side
    2,227.37x = 3,944,023.65
  5. Step 5: Solve for x
    x = 3,944,023.65/2,227.37
  6. Step 6: Final answer
    x = 1,770.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.