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Finding the Fourth Proportional to 27,418.86, 41,128.11 and 7,697.43

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Solution

The fourth proportional to 27,418.86, 41,128.11 and 7,697.43 is: 11,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.86 : 41,128.11 = 7,697.43 : x
  2. Step 2: Convert to fraction form
    27,418.86/41,128.11 = 7,697.43/x
  3. Step 3: Cross multiply
    27,418.86x = 41,128.11 × 7,697.43
  4. Step 4: Simplify right side
    27,418.86x = 316,580,747.76
  5. Step 5: Solve for x
    x = 316,580,747.76/27,418.86
  6. Step 6: Final answer
    x = 11,546.09

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1.5x scale

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.