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Finding the Fourth Proportional to 11,906.65, 17,887.52 and 7,478.11

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Solution

The fourth proportional to 11,906.65, 17,887.52 and 7,478.11 is: 11,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.65 : 17,887.52 = 7,478.11 : x
  2. Step 2: Convert to fraction form
    11,906.65/17,887.52 = 7,478.11/x
  3. Step 3: Cross multiply
    11,906.65x = 17,887.52 × 7,478.11
  4. Step 4: Simplify right side
    11,906.65x = 133,764,842.19
  5. Step 5: Solve for x
    x = 133,764,842.19/11,906.65
  6. Step 6: Final answer
    x = 11,234.46

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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.