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Finding the Fourth Proportional to 11,234.09, 16,819.92 and 7,289.93

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Solution

The fourth proportional to 11,234.09, 16,819.92 and 7,289.93 is: 10,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.09 : 16,819.92 = 7,289.93 : x
  2. Step 2: Convert to fraction form
    11,234.09/16,819.92 = 7,289.93/x
  3. Step 3: Cross multiply
    11,234.09x = 16,819.92 × 7,289.93
  4. Step 4: Simplify right side
    11,234.09x = 122,616,081.46
  5. Step 5: Solve for x
    x = 122,616,081.46/11,234.09
  6. Step 6: Final answer
    x = 10,914.64

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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.