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Finding the Fourth Proportional to 18,286.08, 27,414 and 8,417.04

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Solution

The fourth proportional to 18,286.08, 27,414 and 8,417.04 is: 12,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.08 : 27,414 = 8,417.04 : x
  2. Step 2: Convert to fraction form
    18,286.08/27,414 = 8,417.04/x
  3. Step 3: Cross multiply
    18,286.08x = 27,414 × 8,417.04
  4. Step 4: Simplify right side
    18,286.08x = 230,744,734.56
  5. Step 5: Solve for x
    x = 230,744,734.56/18,286.08
  6. Step 6: Final answer
    x = 12,618.60

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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.