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Finding the Fourth Proportional to 27,027, 40,540.68 and 8,559

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Solution

The fourth proportional to 27,027, 40,540.68 and 8,559 is: 12,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 40,540.68 = 8,559 : x
  2. Step 2: Convert to fraction form
    27,027/40,540.68 = 8,559/x
  3. Step 3: Cross multiply
    27,027x = 40,540.68 × 8,559
  4. Step 4: Simplify right side
    27,027x = 346,987,680.12
  5. Step 5: Solve for x
    x = 346,987,680.12/27,027
  6. Step 6: Final answer
    x = 12,838.56

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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.