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Finding the Fourth Proportional to 3,198.99, 4,797.72 and 1,119.09

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Solution

The fourth proportional to 3,198.99, 4,797.72 and 1,119.09 is: 1,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.99 : 4,797.72 = 1,119.09 : x
  2. Step 2: Convert to fraction form
    3,198.99/4,797.72 = 1,119.09/x
  3. Step 3: Cross multiply
    3,198.99x = 4,797.72 × 1,119.09
  4. Step 4: Simplify right side
    3,198.99x = 5,369,080.47
  5. Step 5: Solve for x
    x = 5,369,080.47/3,198.99
  6. Step 6: Final answer
    x = 1,678.37

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1.5x scale

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.