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Finding the Fourth Proportional to 18,504, 27,731.70 and 8,505

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Solution

The fourth proportional to 18,504, 27,731.70 and 8,505 is: 12,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504 : 27,731.70 = 8,505 : x
  2. Step 2: Convert to fraction form
    18,504/27,731.70 = 8,505/x
  3. Step 3: Cross multiply
    18,504x = 27,731.70 × 8,505
  4. Step 4: Simplify right side
    18,504x = 235,858,108.50
  5. Step 5: Solve for x
    x = 235,858,108.50/18,504
  6. Step 6: Final answer
    x = 12,746.33

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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.