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Finding the Fourth Proportional to 6,395.22, 8,822.70 and 3,876.66

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Solution

The fourth proportional to 6,395.22, 8,822.70 and 3,876.66 is: 5,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.22 : 8,822.70 = 3,876.66 : x
  2. Step 2: Convert to fraction form
    6,395.22/8,822.70 = 3,876.66/x
  3. Step 3: Cross multiply
    6,395.22x = 8,822.70 × 3,876.66
  4. Step 4: Simplify right side
    6,395.22x = 34,202,608.18
  5. Step 5: Solve for x
    x = 34,202,608.18/6,395.22
  6. Step 6: Final answer
    x = 5,348.15

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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.