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Finding the Fourth Proportional to 3,847.44, 5,769.81 and 1,347.96

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Solution

The fourth proportional to 3,847.44, 5,769.81 and 1,347.96 is: 2,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.44 : 5,769.81 = 1,347.96 : x
  2. Step 2: Convert to fraction form
    3,847.44/5,769.81 = 1,347.96/x
  3. Step 3: Cross multiply
    3,847.44x = 5,769.81 × 1,347.96
  4. Step 4: Simplify right side
    3,847.44x = 7,777,473.09
  5. Step 5: Solve for x
    x = 7,777,473.09/3,847.44
  6. Step 6: Final answer
    x = 2,021.47

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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.