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Finding the Fourth Proportional to 2,974.20, 4,462.20 and 1,674.80

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Solution

The fourth proportional to 2,974.20, 4,462.20 and 1,674.80 is: 2,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.20 : 4,462.20 = 1,674.80 : x
  2. Step 2: Convert to fraction form
    2,974.20/4,462.20 = 1,674.80/x
  3. Step 3: Cross multiply
    2,974.20x = 4,462.20 × 1,674.80
  4. Step 4: Simplify right side
    2,974.20x = 7,473,292.56
  5. Step 5: Solve for x
    x = 7,473,292.56/2,974.20
  6. Step 6: Final answer
    x = 2,512.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.