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Finding the Fourth Proportional to 6,661.96, 9,991.94 and 4,189.24

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Solution

The fourth proportional to 6,661.96, 9,991.94 and 4,189.24 is: 6,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.96 : 9,991.94 = 4,189.24 : x
  2. Step 2: Convert to fraction form
    6,661.96/9,991.94 = 4,189.24/x
  3. Step 3: Cross multiply
    6,661.96x = 9,991.94 × 4,189.24
  4. Step 4: Simplify right side
    6,661.96x = 41,858,634.73
  5. Step 5: Solve for x
    x = 41,858,634.73/6,661.96
  6. Step 6: Final answer
    x = 6,283.23

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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.