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Finding the Fourth Proportional to 2,033.19, 3,049.78 and 494.19

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Solution

The fourth proportional to 2,033.19, 3,049.78 and 494.19 is: 741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.19 : 3,049.78 = 494.19 : x
  2. Step 2: Convert to fraction form
    2,033.19/3,049.78 = 494.19/x
  3. Step 3: Cross multiply
    2,033.19x = 3,049.78 × 494.19
  4. Step 4: Simplify right side
    2,033.19x = 1,507,170.78
  5. Step 5: Solve for x
    x = 1,507,170.78/2,033.19
  6. Step 6: Final answer
    x = 741.28

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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.