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Finding the Fourth Proportional to 2,798.34, 4,198.99 and 1,239.42

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Solution

The fourth proportional to 2,798.34, 4,198.99 and 1,239.42 is: 1,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.34 : 4,198.99 = 1,239.42 : x
  2. Step 2: Convert to fraction form
    2,798.34/4,198.99 = 1,239.42/x
  3. Step 3: Cross multiply
    2,798.34x = 4,198.99 × 1,239.42
  4. Step 4: Simplify right side
    2,798.34x = 5,204,316.49
  5. Step 5: Solve for x
    x = 5,204,316.49/2,798.34
  6. Step 6: Final answer
    x = 1,859.79

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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.