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Finding the Fourth Proportional to 3,982.41, 5,973.51 and 980.44

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Solution

The fourth proportional to 3,982.41, 5,973.51 and 980.44 is: 1,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.41 : 5,973.51 = 980.44 : x
  2. Step 2: Convert to fraction form
    3,982.41/5,973.51 = 980.44/x
  3. Step 3: Cross multiply
    3,982.41x = 5,973.51 × 980.44
  4. Step 4: Simplify right side
    3,982.41x = 5,856,668.14
  5. Step 5: Solve for x
    x = 5,856,668.14/3,982.41
  6. Step 6: Final answer
    x = 1,470.63

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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.