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Finding the Fourth Proportional to 18,243.32, 27,367.80 and 7,713.38

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Solution

The fourth proportional to 18,243.32, 27,367.80 and 7,713.38 is: 11,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243.32 : 27,367.80 = 7,713.38 : x
  2. Step 2: Convert to fraction form
    18,243.32/27,367.80 = 7,713.38/x
  3. Step 3: Cross multiply
    18,243.32x = 27,367.80 × 7,713.38
  4. Step 4: Simplify right side
    18,243.32x = 211,098,148.41
  5. Step 5: Solve for x
    x = 211,098,148.41/18,243.32
  6. Step 6: Final answer
    x = 11,571.26

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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.