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Finding the Fourth Proportional to 18,083.76, 27,125.94 and 6,388.80

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Solution

The fourth proportional to 18,083.76, 27,125.94 and 6,388.80 is: 9,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083.76 : 27,125.94 = 6,388.80 : x
  2. Step 2: Convert to fraction form
    18,083.76/27,125.94 = 6,388.80/x
  3. Step 3: Cross multiply
    18,083.76x = 27,125.94 × 6,388.80
  4. Step 4: Simplify right side
    18,083.76x = 173,302,205.47
  5. Step 5: Solve for x
    x = 173,302,205.47/18,083.76
  6. Step 6: Final answer
    x = 9,583.31

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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.