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Finding the Fourth Proportional to 3,847, 5,309.10 and 2,191

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Solution

The fourth proportional to 3,847, 5,309.10 and 2,191 is: 3,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,309.10 = 2,191 : x
  2. Step 2: Convert to fraction form
    3,847/5,309.10 = 2,191/x
  3. Step 3: Cross multiply
    3,847x = 5,309.10 × 2,191
  4. Step 4: Simplify right side
    3,847x = 11,632,238.10
  5. Step 5: Solve for x
    x = 11,632,238.10/3,847
  6. Step 6: Final answer
    x = 3,023.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.