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Finding the Fourth Proportional to 18,564.54, 27,854.10 and 8,169

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Solution

The fourth proportional to 18,564.54, 27,854.10 and 8,169 is: 12,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.54 : 27,854.10 = 8,169 : x
  2. Step 2: Convert to fraction form
    18,564.54/27,854.10 = 8,169/x
  3. Step 3: Cross multiply
    18,564.54x = 27,854.10 × 8,169
  4. Step 4: Simplify right side
    18,564.54x = 227,540,142.90
  5. Step 5: Solve for x
    x = 227,540,142.90/18,564.54
  6. Step 6: Final answer
    x = 12,256.71

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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.