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Finding the Fourth Proportional to 18,480.82, 27,710.09 and 7,794.43

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Solution

The fourth proportional to 18,480.82, 27,710.09 and 7,794.43 is: 11,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480.82 : 27,710.09 = 7,794.43 : x
  2. Step 2: Convert to fraction form
    18,480.82/27,710.09 = 7,794.43/x
  3. Step 3: Cross multiply
    18,480.82x = 27,710.09 × 7,794.43
  4. Step 4: Simplify right side
    18,480.82x = 215,984,356.80
  5. Step 5: Solve for x
    x = 215,984,356.80/18,480.82
  6. Step 6: Final answer
    x = 11,686.95

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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.