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Finding the Fourth Proportional to 3,847.41, 5,771.12 and 2,971.19

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Solution

The fourth proportional to 3,847.41, 5,771.12 and 2,971.19 is: 4,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.41 : 5,771.12 = 2,971.19 : x
  2. Step 2: Convert to fraction form
    3,847.41/5,771.12 = 2,971.19/x
  3. Step 3: Cross multiply
    3,847.41x = 5,771.12 × 2,971.19
  4. Step 4: Simplify right side
    3,847.41x = 17,147,101.03
  5. Step 5: Solve for x
    x = 17,147,101.03/3,847.41
  6. Step 6: Final answer
    x = 4,456.79

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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.