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Finding the Fourth Proportional to 18,522, 27,783 and 8,134.02

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Solution

The fourth proportional to 18,522, 27,783 and 8,134.02 is: 12,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 27,783 = 8,134.02 : x
  2. Step 2: Convert to fraction form
    18,522/27,783 = 8,134.02/x
  3. Step 3: Cross multiply
    18,522x = 27,783 × 8,134.02
  4. Step 4: Simplify right side
    18,522x = 225,987,477.66
  5. Step 5: Solve for x
    x = 225,987,477.66/18,522
  6. Step 6: Final answer
    x = 12,201.03

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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.