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Finding the Fourth Proportional to 2,998.65, 4,498.01 and 1,149.85

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Solution

The fourth proportional to 2,998.65, 4,498.01 and 1,149.85 is: 1,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.65 : 4,498.01 = 1,149.85 : x
  2. Step 2: Convert to fraction form
    2,998.65/4,498.01 = 1,149.85/x
  3. Step 3: Cross multiply
    2,998.65x = 4,498.01 × 1,149.85
  4. Step 4: Simplify right side
    2,998.65x = 5,172,036.80
  5. Step 5: Solve for x
    x = 5,172,036.80/2,998.65
  6. Step 6: Final answer
    x = 1,724.79

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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.