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Finding the Fourth Proportional to 2,982.53, 4,472.19 and 2,287.49

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Solution

The fourth proportional to 2,982.53, 4,472.19 and 2,287.49 is: 3,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.53 : 4,472.19 = 2,287.49 : x
  2. Step 2: Convert to fraction form
    2,982.53/4,472.19 = 2,287.49/x
  3. Step 3: Cross multiply
    2,982.53x = 4,472.19 × 2,287.49
  4. Step 4: Simplify right side
    2,982.53x = 10,230,067.54
  5. Step 5: Solve for x
    x = 10,230,067.54/2,982.53
  6. Step 6: Final answer
    x = 3,429.99

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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.