Home / 4,198.24-6,296.88-1,120

Finding the Fourth Proportional to 4,198.24, 6,296.88 and 1,120

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Solution

The fourth proportional to 4,198.24, 6,296.88 and 1,120 is: 1,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.24 : 6,296.88 = 1,120 : x
  2. Step 2: Convert to fraction form
    4,198.24/6,296.88 = 1,120/x
  3. Step 3: Cross multiply
    4,198.24x = 6,296.88 × 1,120
  4. Step 4: Simplify right side
    4,198.24x = 7,052,505.60
  5. Step 5: Solve for x
    x = 7,052,505.60/4,198.24
  6. Step 6: Final answer
    x = 1,679.87

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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.