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Finding the Fourth Proportional to 18,107.82, 27,165.78 and 8,244.42

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Solution

The fourth proportional to 18,107.82, 27,165.78 and 8,244.42 is: 12,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,107.82 : 27,165.78 = 8,244.42 : x
  2. Step 2: Convert to fraction form
    18,107.82/27,165.78 = 8,244.42/x
  3. Step 3: Cross multiply
    18,107.82x = 27,165.78 × 8,244.42
  4. Step 4: Simplify right side
    18,107.82x = 223,966,099.95
  5. Step 5: Solve for x
    x = 223,966,099.95/18,107.82
  6. Step 6: Final answer
    x = 12,368.47

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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.