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Finding the Fourth Proportional to 2,982.81, 4,474.22 and 1,228.76

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Solution

The fourth proportional to 2,982.81, 4,474.22 and 1,228.76 is: 1,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.81 : 4,474.22 = 1,228.76 : x
  2. Step 2: Convert to fraction form
    2,982.81/4,474.22 = 1,228.76/x
  3. Step 3: Cross multiply
    2,982.81x = 4,474.22 × 1,228.76
  4. Step 4: Simplify right side
    2,982.81x = 5,497,714.05
  5. Step 5: Solve for x
    x = 5,497,714.05/2,982.81
  6. Step 6: Final answer
    x = 1,843.13

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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.