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Finding the Fourth Proportional to 3,751.82, 5,627.82 and 1,286.62

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Solution

The fourth proportional to 3,751.82, 5,627.82 and 1,286.62 is: 1,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.82 : 5,627.82 = 1,286.62 : x
  2. Step 2: Convert to fraction form
    3,751.82/5,627.82 = 1,286.62/x
  3. Step 3: Cross multiply
    3,751.82x = 5,627.82 × 1,286.62
  4. Step 4: Simplify right side
    3,751.82x = 7,240,865.77
  5. Step 5: Solve for x
    x = 7,240,865.77/3,751.82
  6. Step 6: Final answer
    x = 1,929.96

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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.