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Finding the Fourth Proportional to 18,537.84, 27,811.12 and 5,390.48

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Solution

The fourth proportional to 18,537.84, 27,811.12 and 5,390.48 is: 8,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.84 : 27,811.12 = 5,390.48 : x
  2. Step 2: Convert to fraction form
    18,537.84/27,811.12 = 5,390.48/x
  3. Step 3: Cross multiply
    18,537.84x = 27,811.12 × 5,390.48
  4. Step 4: Simplify right side
    18,537.84x = 149,915,286.14
  5. Step 5: Solve for x
    x = 149,915,286.14/18,537.84
  6. Step 6: Final answer
    x = 8,086.99

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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.