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Finding the Fourth Proportional to 11,906.80, 16,431.78 and 7,190.14

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Solution

The fourth proportional to 11,906.80, 16,431.78 and 7,190.14 is: 9,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.80 : 16,431.78 = 7,190.14 : x
  2. Step 2: Convert to fraction form
    11,906.80/16,431.78 = 7,190.14/x
  3. Step 3: Cross multiply
    11,906.80x = 16,431.78 × 7,190.14
  4. Step 4: Simplify right side
    11,906.80x = 118,146,798.65
  5. Step 5: Solve for x
    x = 118,146,798.65/11,906.80
  6. Step 6: Final answer
    x = 9,922.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.