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Finding the Fourth Proportional to 3,198.52, 4,797.64 and 890.02

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Solution

The fourth proportional to 3,198.52, 4,797.64 and 890.02 is: 1,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.52 : 4,797.64 = 890.02 : x
  2. Step 2: Convert to fraction form
    3,198.52/4,797.64 = 890.02/x
  3. Step 3: Cross multiply
    3,198.52x = 4,797.64 × 890.02
  4. Step 4: Simplify right side
    3,198.52x = 4,269,995.55
  5. Step 5: Solve for x
    x = 4,269,995.55/3,198.52
  6. Step 6: Final answer
    x = 1,334.99

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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.