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Finding the Fourth Proportional to 18,558, 27,767.25 and 13,022.15

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Solution

The fourth proportional to 18,558, 27,767.25 and 13,022.15 is: 19,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,558 : 27,767.25 = 13,022.15 : x
  2. Step 2: Convert to fraction form
    18,558/27,767.25 = 13,022.15/x
  3. Step 3: Cross multiply
    18,558x = 27,767.25 × 13,022.15
  4. Step 4: Simplify right side
    18,558x = 361,589,155.75
  5. Step 5: Solve for x
    x = 361,589,155.75/18,558
  6. Step 6: Final answer
    x = 19,484.27

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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.