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Finding the Fourth Proportional to 18,468.72, 27,717.48 and 6,789.60

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Solution

The fourth proportional to 18,468.72, 27,717.48 and 6,789.60 is: 10,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.72 : 27,717.48 = 6,789.60 : x
  2. Step 2: Convert to fraction form
    18,468.72/27,717.48 = 6,789.60/x
  3. Step 3: Cross multiply
    18,468.72x = 27,717.48 × 6,789.60
  4. Step 4: Simplify right side
    18,468.72x = 188,190,602.21
  5. Step 5: Solve for x
    x = 188,190,602.21/18,468.72
  6. Step 6: Final answer
    x = 10,189.69

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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.