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Finding the Fourth Proportional to 3,198.99, 4,799.13 and 1,007.21

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Solution

The fourth proportional to 3,198.99, 4,799.13 and 1,007.21 is: 1,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.99 : 4,799.13 = 1,007.21 : x
  2. Step 2: Convert to fraction form
    3,198.99/4,799.13 = 1,007.21/x
  3. Step 3: Cross multiply
    3,198.99x = 4,799.13 × 1,007.21
  4. Step 4: Simplify right side
    3,198.99x = 4,833,731.73
  5. Step 5: Solve for x
    x = 4,833,731.73/3,198.99
  6. Step 6: Final answer
    x = 1,511.02

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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.