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Finding the Fourth Proportional to 10,906.68, 15,049.92 and 6,190.80

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Solution

The fourth proportional to 10,906.68, 15,049.92 and 6,190.80 is: 8,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.68 : 15,049.92 = 6,190.80 : x
  2. Step 2: Convert to fraction form
    10,906.68/15,049.92 = 6,190.80/x
  3. Step 3: Cross multiply
    10,906.68x = 15,049.92 × 6,190.80
  4. Step 4: Simplify right side
    10,906.68x = 93,171,044.74
  5. Step 5: Solve for x
    x = 93,171,044.74/10,906.68
  6. Step 6: Final answer
    x = 8,542.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.