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Finding the Fourth Proportional to 5,645.92, 7,791.42 and 3,288.28

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Solution

The fourth proportional to 5,645.92, 7,791.42 and 3,288.28 is: 4,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.92 : 7,791.42 = 3,288.28 : x
  2. Step 2: Convert to fraction form
    5,645.92/7,791.42 = 3,288.28/x
  3. Step 3: Cross multiply
    5,645.92x = 7,791.42 × 3,288.28
  4. Step 4: Simplify right side
    5,645.92x = 25,620,370.56
  5. Step 5: Solve for x
    x = 25,620,370.56/5,645.92
  6. Step 6: Final answer
    x = 4,537.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.