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Finding the Fourth Proportional to 18,558.50, 27,768 and 13,022.65

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Solution

The fourth proportional to 18,558.50, 27,768 and 13,022.65 is: 19,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,558.50 : 27,768 = 13,022.65 : x
  2. Step 2: Convert to fraction form
    18,558.50/27,768 = 13,022.65/x
  3. Step 3: Cross multiply
    18,558.50x = 27,768 × 13,022.65
  4. Step 4: Simplify right side
    18,558.50x = 361,612,945.20
  5. Step 5: Solve for x
    x = 361,612,945.20/18,558.50
  6. Step 6: Final answer
    x = 19,485.03

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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.