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Finding the Fourth Proportional to 3,198.77, 4,797.55 and 1,090.50

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Solution

The fourth proportional to 3,198.77, 4,797.55 and 1,090.50 is: 1,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.77 : 4,797.55 = 1,090.50 : x
  2. Step 2: Convert to fraction form
    3,198.77/4,797.55 = 1,090.50/x
  3. Step 3: Cross multiply
    3,198.77x = 4,797.55 × 1,090.50
  4. Step 4: Simplify right side
    3,198.77x = 5,231,711.65
  5. Step 5: Solve for x
    x = 5,231,711.65/3,198.77
  6. Step 6: Final answer
    x = 1,635.54

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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.