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Finding the Fourth Proportional to 18,650.25, 27,986.36 and 8,262.09

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Solution

The fourth proportional to 18,650.25, 27,986.36 and 8,262.09 is: 12,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,650.25 : 27,986.36 = 8,262.09 : x
  2. Step 2: Convert to fraction form
    18,650.25/27,986.36 = 8,262.09/x
  3. Step 3: Cross multiply
    18,650.25x = 27,986.36 × 8,262.09
  4. Step 4: Simplify right side
    18,650.25x = 231,225,783.78
  5. Step 5: Solve for x
    x = 231,225,783.78/18,650.25
  6. Step 6: Final answer
    x = 12,398.00

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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.