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Finding the Fourth Proportional to 1,982.36, 2,974.14 and 683.73

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Solution

The fourth proportional to 1,982.36, 2,974.14 and 683.73 is: 1,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.36 : 2,974.14 = 683.73 : x
  2. Step 2: Convert to fraction form
    1,982.36/2,974.14 = 683.73/x
  3. Step 3: Cross multiply
    1,982.36x = 2,974.14 × 683.73
  4. Step 4: Simplify right side
    1,982.36x = 2,033,508.74
  5. Step 5: Solve for x
    x = 2,033,508.74/1,982.36
  6. Step 6: Final answer
    x = 1,025.80

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1.5x scale

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.