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Finding the Fourth Proportional to 18,625.87, 27,938.26 and 5,478.49

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Solution

The fourth proportional to 18,625.87, 27,938.26 and 5,478.49 is: 8,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625.87 : 27,938.26 = 5,478.49 : x
  2. Step 2: Convert to fraction form
    18,625.87/27,938.26 = 5,478.49/x
  3. Step 3: Cross multiply
    18,625.87x = 27,938.26 × 5,478.49
  4. Step 4: Simplify right side
    18,625.87x = 153,059,478.03
  5. Step 5: Solve for x
    x = 153,059,478.03/18,625.87
  6. Step 6: Final answer
    x = 8,217.57

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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.