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Finding the Fourth Proportional to 3,463.98, 5,194.26 and 1,982.97

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Solution

The fourth proportional to 3,463.98, 5,194.26 and 1,982.97 is: 2,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 5,194.26 = 1,982.97 : x
  2. Step 2: Convert to fraction form
    3,463.98/5,194.26 = 1,982.97/x
  3. Step 3: Cross multiply
    3,463.98x = 5,194.26 × 1,982.97
  4. Step 4: Simplify right side
    3,463.98x = 10,300,061.75
  5. Step 5: Solve for x
    x = 10,300,061.75/3,463.98
  6. Step 6: Final answer
    x = 2,973.48

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Double scale
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Similar ratio
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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.