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Finding the Fourth Proportional to 27,000, 40,520.88 and 18,738

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Solution

The fourth proportional to 27,000, 40,520.88 and 18,738 is: 28,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 40,520.88 = 18,738 : x
  2. Step 2: Convert to fraction form
    27,000/40,520.88 = 18,738/x
  3. Step 3: Cross multiply
    27,000x = 40,520.88 × 18,738
  4. Step 4: Simplify right side
    27,000x = 759,280,249.44
  5. Step 5: Solve for x
    x = 759,280,249.44/27,000
  6. Step 6: Final answer
    x = 28,121.49

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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.