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Finding the Fourth Proportional to 18,073.13, 27,107.87 and 8,209.76

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Solution

The fourth proportional to 18,073.13, 27,107.87 and 8,209.76 is: 12,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,073.13 : 27,107.87 = 8,209.76 : x
  2. Step 2: Convert to fraction form
    18,073.13/27,107.87 = 8,209.76/x
  3. Step 3: Cross multiply
    18,073.13x = 27,107.87 × 8,209.76
  4. Step 4: Simplify right side
    18,073.13x = 222,548,930.22
  5. Step 5: Solve for x
    x = 222,548,930.22/18,073.13
  6. Step 6: Final answer
    x = 12,313.80

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1.5x scale

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.