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Finding the Fourth Proportional to 11,872.92, 17,810.42 and 3,107.84

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Solution

The fourth proportional to 11,872.92, 17,810.42 and 3,107.84 is: 4,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.92 : 17,810.42 = 3,107.84 : x
  2. Step 2: Convert to fraction form
    11,872.92/17,810.42 = 3,107.84/x
  3. Step 3: Cross multiply
    11,872.92x = 17,810.42 × 3,107.84
  4. Step 4: Simplify right side
    11,872.92x = 55,351,935.69
  5. Step 5: Solve for x
    x = 55,351,935.69/11,872.92
  6. Step 6: Final answer
    x = 4,662.03

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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.