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Finding the Fourth Proportional to 27,879.77, 41,824.87 and 9,165.22

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Solution

The fourth proportional to 27,879.77, 41,824.87 and 9,165.22 is: 13,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.77 : 41,824.87 = 9,165.22 : x
  2. Step 2: Convert to fraction form
    27,879.77/41,824.87 = 9,165.22/x
  3. Step 3: Cross multiply
    27,879.77x = 41,824.87 × 9,165.22
  4. Step 4: Simplify right side
    27,879.77x = 383,334,007.55
  5. Step 5: Solve for x
    x = 383,334,007.55/27,879.77
  6. Step 6: Final answer
    x = 13,749.54

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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.