Home / 11,738.72-16,197.84-7,022

Finding the Fourth Proportional to 11,738.72, 16,197.84 and 7,022

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Solution

The fourth proportional to 11,738.72, 16,197.84 and 7,022 is: 9,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.72 : 16,197.84 = 7,022 : x
  2. Step 2: Convert to fraction form
    11,738.72/16,197.84 = 7,022/x
  3. Step 3: Cross multiply
    11,738.72x = 16,197.84 × 7,022
  4. Step 4: Simplify right side
    11,738.72x = 113,741,232.48
  5. Step 5: Solve for x
    x = 113,741,232.48/11,738.72
  6. Step 6: Final answer
    x = 9,689.41

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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.