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Finding the Fourth Proportional to 3,982.91, 5,974.26 and 980.94

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Solution

The fourth proportional to 3,982.91, 5,974.26 and 980.94 is: 1,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.91 : 5,974.26 = 980.94 : x
  2. Step 2: Convert to fraction form
    3,982.91/5,974.26 = 980.94/x
  3. Step 3: Cross multiply
    3,982.91x = 5,974.26 × 980.94
  4. Step 4: Simplify right side
    3,982.91x = 5,860,390.60
  5. Step 5: Solve for x
    x = 5,860,390.60/3,982.91
  6. Step 6: Final answer
    x = 1,471.39

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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.