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Finding the Fourth Proportional to 3,751.33, 5,627 and 1,286.86

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Solution

The fourth proportional to 3,751.33, 5,627 and 1,286.86 is: 1,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.33 : 5,627 = 1,286.86 : x
  2. Step 2: Convert to fraction form
    3,751.33/5,627 = 1,286.86/x
  3. Step 3: Cross multiply
    3,751.33x = 5,627 × 1,286.86
  4. Step 4: Simplify right side
    3,751.33x = 7,241,161.22
  5. Step 5: Solve for x
    x = 7,241,161.22/3,751.33
  6. Step 6: Final answer
    x = 1,930.29

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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.