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Finding the Fourth Proportional to 6,388.89, 8,813.08 and 3,836

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Solution

The fourth proportional to 6,388.89, 8,813.08 and 3,836 is: 5,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.89 : 8,813.08 = 3,836 : x
  2. Step 2: Convert to fraction form
    6,388.89/8,813.08 = 3,836/x
  3. Step 3: Cross multiply
    6,388.89x = 8,813.08 × 3,836
  4. Step 4: Simplify right side
    6,388.89x = 33,806,974.88
  5. Step 5: Solve for x
    x = 33,806,974.88/6,388.89
  6. Step 6: Final answer
    x = 5,291.53

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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.