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Finding the Fourth Proportional to 18,251.93, 27,378 and 7,719.30

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Solution

The fourth proportional to 18,251.93, 27,378 and 7,719.30 is: 11,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,251.93 : 27,378 = 7,719.30 : x
  2. Step 2: Convert to fraction form
    18,251.93/27,378 = 7,719.30/x
  3. Step 3: Cross multiply
    18,251.93x = 27,378 × 7,719.30
  4. Step 4: Simplify right side
    18,251.93x = 211,338,995.40
  5. Step 5: Solve for x
    x = 211,338,995.40/18,251.93
  6. Step 6: Final answer
    x = 11,578.99

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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.