Home / 1,982.70-2,974.76-1,204.29

Finding the Fourth Proportional to 1,982.70, 2,974.76 and 1,204.29

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Solution

The fourth proportional to 1,982.70, 2,974.76 and 1,204.29 is: 1,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.70 : 2,974.76 = 1,204.29 : x
  2. Step 2: Convert to fraction form
    1,982.70/2,974.76 = 1,204.29/x
  3. Step 3: Cross multiply
    1,982.70x = 2,974.76 × 1,204.29
  4. Step 4: Simplify right side
    1,982.70x = 3,582,476.73
  5. Step 5: Solve for x
    x = 3,582,476.73/1,982.70
  6. Step 6: Final answer
    x = 1,806.87

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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.