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Finding the Fourth Proportional to 18,781.54, 28,190.54 and 10,022.61

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Solution

The fourth proportional to 18,781.54, 28,190.54 and 10,022.61 is: 15,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781.54 : 28,190.54 = 10,022.61 : x
  2. Step 2: Convert to fraction form
    18,781.54/28,190.54 = 10,022.61/x
  3. Step 3: Cross multiply
    18,781.54x = 28,190.54 × 10,022.61
  4. Step 4: Simplify right side
    18,781.54x = 282,542,788.11
  5. Step 5: Solve for x
    x = 282,542,788.11/18,781.54
  6. Step 6: Final answer
    x = 15,043.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.