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Finding the Fourth Proportional to 18,227.40, 27,344 and 6,384.48

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Solution

The fourth proportional to 18,227.40, 27,344 and 6,384.48 is: 9,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227.40 : 27,344 = 6,384.48 : x
  2. Step 2: Convert to fraction form
    18,227.40/27,344 = 6,384.48/x
  3. Step 3: Cross multiply
    18,227.40x = 27,344 × 6,384.48
  4. Step 4: Simplify right side
    18,227.40x = 174,577,221.12
  5. Step 5: Solve for x
    x = 174,577,221.12/18,227.40
  6. Step 6: Final answer
    x = 9,577.74

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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.