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Finding the Fourth Proportional to 18,286, 27,432.76 and 5,805.76

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Solution

The fourth proportional to 18,286, 27,432.76 and 5,805.76 is: 8,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286 : 27,432.76 = 5,805.76 : x
  2. Step 2: Convert to fraction form
    18,286/27,432.76 = 5,805.76/x
  3. Step 3: Cross multiply
    18,286x = 27,432.76 × 5,805.76
  4. Step 4: Simplify right side
    18,286x = 159,268,020.70
  5. Step 5: Solve for x
    x = 159,268,020.70/18,286
  6. Step 6: Final answer
    x = 8,709.83

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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.