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Finding the Fourth Proportional to 3,751.76, 5,628.32 and 1,286.82

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Solution

The fourth proportional to 3,751.76, 5,628.32 and 1,286.82 is: 1,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.76 : 5,628.32 = 1,286.82 : x
  2. Step 2: Convert to fraction form
    3,751.76/5,628.32 = 1,286.82/x
  3. Step 3: Cross multiply
    3,751.76x = 5,628.32 × 1,286.82
  4. Step 4: Simplify right side
    3,751.76x = 7,242,628.31
  5. Step 5: Solve for x
    x = 7,242,628.31/3,751.76
  6. Step 6: Final answer
    x = 1,930.46

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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.