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Finding the Fourth Proportional to 3,843, 5,765.86 and 1,896.58

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Solution

The fourth proportional to 3,843, 5,765.86 and 1,896.58 is: 2,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 5,765.86 = 1,896.58 : x
  2. Step 2: Convert to fraction form
    3,843/5,765.86 = 1,896.58/x
  3. Step 3: Cross multiply
    3,843x = 5,765.86 × 1,896.58
  4. Step 4: Simplify right side
    3,843x = 10,935,414.76
  5. Step 5: Solve for x
    x = 10,935,414.76/3,843
  6. Step 6: Final answer
    x = 2,845.54

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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.