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Finding the Fourth Proportional to 27,198.87, 40,800.28 and 11,388

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Solution

The fourth proportional to 27,198.87, 40,800.28 and 11,388 is: 17,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.87 : 40,800.28 = 11,388 : x
  2. Step 2: Convert to fraction form
    27,198.87/40,800.28 = 11,388/x
  3. Step 3: Cross multiply
    27,198.87x = 40,800.28 × 11,388
  4. Step 4: Simplify right side
    27,198.87x = 464,633,588.64
  5. Step 5: Solve for x
    x = 464,633,588.64/27,198.87
  6. Step 6: Final answer
    x = 17,082.83

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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.