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Finding the Fourth Proportional to 3,198.53, 4,797.41 and 858.71

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Solution

The fourth proportional to 3,198.53, 4,797.41 and 858.71 is: 1,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.53 : 4,797.41 = 858.71 : x
  2. Step 2: Convert to fraction form
    3,198.53/4,797.41 = 858.71/x
  3. Step 3: Cross multiply
    3,198.53x = 4,797.41 × 858.71
  4. Step 4: Simplify right side
    3,198.53x = 4,119,555.66
  5. Step 5: Solve for x
    x = 4,119,555.66/3,198.53
  6. Step 6: Final answer
    x = 1,287.95

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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.