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Finding the Fourth Proportional to 13,717, 18,933.78 and 8,749

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Solution

The fourth proportional to 13,717, 18,933.78 and 8,749 is: 12,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717 : 18,933.78 = 8,749 : x
  2. Step 2: Convert to fraction form
    13,717/18,933.78 = 8,749/x
  3. Step 3: Cross multiply
    13,717x = 18,933.78 × 8,749
  4. Step 4: Simplify right side
    13,717x = 165,651,641.22
  5. Step 5: Solve for x
    x = 165,651,641.22/13,717
  6. Step 6: Final answer
    x = 12,076.38

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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.