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Finding the Fourth Proportional to 3,874, 5,346.22 and 2,105.61

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Solution

The fourth proportional to 3,874, 5,346.22 and 2,105.61 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,346.22 = 2,105.61 : x
  2. Step 2: Convert to fraction form
    3,874/5,346.22 = 2,105.61/x
  3. Step 3: Cross multiply
    3,874x = 5,346.22 × 2,105.61
  4. Step 4: Simplify right side
    3,874x = 11,257,054.29
  5. Step 5: Solve for x
    x = 11,257,054.29/3,874
  6. Step 6: Final answer
    x = 2,905.80

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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.