Home / 11,788.31-17,682-3,997.13

Finding the Fourth Proportional to 11,788.31, 17,682 and 3,997.13

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Solution

The fourth proportional to 11,788.31, 17,682 and 3,997.13 is: 5,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.31 : 17,682 = 3,997.13 : x
  2. Step 2: Convert to fraction form
    11,788.31/17,682 = 3,997.13/x
  3. Step 3: Cross multiply
    11,788.31x = 17,682 × 3,997.13
  4. Step 4: Simplify right side
    11,788.31x = 70,677,164.25
  5. Step 5: Solve for x
    x = 70,677,164.25/11,788.31
  6. Step 6: Final answer
    x = 5,995.53

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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.