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Finding the Fourth Proportional to 3,819, 5,725.57 and 1,843.62

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Solution

The fourth proportional to 3,819, 5,725.57 and 1,843.62 is: 2,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819 : 5,725.57 = 1,843.62 : x
  2. Step 2: Convert to fraction form
    3,819/5,725.57 = 1,843.62/x
  3. Step 3: Cross multiply
    3,819x = 5,725.57 × 1,843.62
  4. Step 4: Simplify right side
    3,819x = 10,555,775.36
  5. Step 5: Solve for x
    x = 10,555,775.36/3,819
  6. Step 6: Final answer
    x = 2,764.02

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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.