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Finding the Fourth Proportional to 5,640.31, 7,786.17 and 3,755.23

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Solution

The fourth proportional to 5,640.31, 7,786.17 and 3,755.23 is: 5,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.31 : 7,786.17 = 3,755.23 : x
  2. Step 2: Convert to fraction form
    5,640.31/7,786.17 = 3,755.23/x
  3. Step 3: Cross multiply
    5,640.31x = 7,786.17 × 3,755.23
  4. Step 4: Simplify right side
    5,640.31x = 29,238,859.17
  5. Step 5: Solve for x
    x = 29,238,859.17/5,640.31
  6. Step 6: Final answer
    x = 5,183.91

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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.