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Finding the Fourth Proportional to 3,166.20, 4,743.90 and 1,519.20

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Solution

The fourth proportional to 3,166.20, 4,743.90 and 1,519.20 is: 2,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.20 : 4,743.90 = 1,519.20 : x
  2. Step 2: Convert to fraction form
    3,166.20/4,743.90 = 1,519.20/x
  3. Step 3: Cross multiply
    3,166.20x = 4,743.90 × 1,519.20
  4. Step 4: Simplify right side
    3,166.20x = 7,206,932.88
  5. Step 5: Solve for x
    x = 7,206,932.88/3,166.20
  6. Step 6: Final answer
    x = 2,276.21

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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.