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Finding the Fourth Proportional to 11,399.82, 17,105.14 and 7,895.22

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Solution

The fourth proportional to 11,399.82, 17,105.14 and 7,895.22 is: 11,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.82 : 17,105.14 = 7,895.22 : x
  2. Step 2: Convert to fraction form
    11,399.82/17,105.14 = 7,895.22/x
  3. Step 3: Cross multiply
    11,399.82x = 17,105.14 × 7,895.22
  4. Step 4: Simplify right side
    11,399.82x = 135,048,738.17
  5. Step 5: Solve for x
    x = 135,048,738.17/11,399.82
  6. Step 6: Final answer
    x = 11,846.57

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1.5x scale

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.