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Finding the Fourth Proportional to 18,520.88, 27,784.20 and 6,206

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Solution

The fourth proportional to 18,520.88, 27,784.20 and 6,206 is: 9,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,520.88 : 27,784.20 = 6,206 : x
  2. Step 2: Convert to fraction form
    18,520.88/27,784.20 = 6,206/x
  3. Step 3: Cross multiply
    18,520.88x = 27,784.20 × 6,206
  4. Step 4: Simplify right side
    18,520.88x = 172,428,745.20
  5. Step 5: Solve for x
    x = 172,428,745.20/18,520.88
  6. Step 6: Final answer
    x = 9,309.97

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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.