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Finding the Fourth Proportional to 13,327, 18,392.88 and 7,738

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Solution

The fourth proportional to 13,327, 18,392.88 and 7,738 is: 10,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327 : 18,392.88 = 7,738 : x
  2. Step 2: Convert to fraction form
    13,327/18,392.88 = 7,738/x
  3. Step 3: Cross multiply
    13,327x = 18,392.88 × 7,738
  4. Step 4: Simplify right side
    13,327x = 142,324,105.44
  5. Step 5: Solve for x
    x = 142,324,105.44/13,327
  6. Step 6: Final answer
    x = 10,679.38

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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.