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Finding the Fourth Proportional to 18,469.63, 27,665.16 and 9,677.89

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Solution

The fourth proportional to 18,469.63, 27,665.16 and 9,677.89 is: 14,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.63 : 27,665.16 = 9,677.89 : x
  2. Step 2: Convert to fraction form
    18,469.63/27,665.16 = 9,677.89/x
  3. Step 3: Cross multiply
    18,469.63x = 27,665.16 × 9,677.89
  4. Step 4: Simplify right side
    18,469.63x = 267,740,375.31
  5. Step 5: Solve for x
    x = 267,740,375.31/18,469.63
  6. Step 6: Final answer
    x = 14,496.25

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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.