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Finding the Fourth Proportional to 9,144.81, 13,717.86 and 3,879.22

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Solution

The fourth proportional to 9,144.81, 13,717.86 and 3,879.22 is: 5,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.81 : 13,717.86 = 3,879.22 : x
  2. Step 2: Convert to fraction form
    9,144.81/13,717.86 = 3,879.22/x
  3. Step 3: Cross multiply
    9,144.81x = 13,717.86 × 3,879.22
  4. Step 4: Simplify right side
    9,144.81x = 53,214,608.06
  5. Step 5: Solve for x
    x = 53,214,608.06/9,144.81
  6. Step 6: Final answer
    x = 5,819.11

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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.