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Finding the Fourth Proportional to 13,757.69, 18,990.08 and 8,092.14

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Solution

The fourth proportional to 13,757.69, 18,990.08 and 8,092.14 is: 11,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.69 : 18,990.08 = 8,092.14 : x
  2. Step 2: Convert to fraction form
    13,757.69/18,990.08 = 8,092.14/x
  3. Step 3: Cross multiply
    13,757.69x = 18,990.08 × 8,092.14
  4. Step 4: Simplify right side
    13,757.69x = 153,670,385.97
  5. Step 5: Solve for x
    x = 153,670,385.97/13,757.69
  6. Step 6: Final answer
    x = 11,169.78

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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.