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Finding the Fourth Proportional to 11,788.56, 17,687.16 and 7,107.84

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Solution

The fourth proportional to 11,788.56, 17,687.16 and 7,107.84 is: 10,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.56 : 17,687.16 = 7,107.84 : x
  2. Step 2: Convert to fraction form
    11,788.56/17,687.16 = 7,107.84/x
  3. Step 3: Cross multiply
    11,788.56x = 17,687.16 × 7,107.84
  4. Step 4: Simplify right side
    11,788.56x = 125,717,503.33
  5. Step 5: Solve for x
    x = 125,717,503.33/11,788.56
  6. Step 6: Final answer
    x = 10,664.36

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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.