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Finding the Fourth Proportional to 11,192.39, 15,453.06 and 6,945.17

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Solution

The fourth proportional to 11,192.39, 15,453.06 and 6,945.17 is: 9,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.39 : 15,453.06 = 6,945.17 : x
  2. Step 2: Convert to fraction form
    11,192.39/15,453.06 = 6,945.17/x
  3. Step 3: Cross multiply
    11,192.39x = 15,453.06 × 6,945.17
  4. Step 4: Simplify right side
    11,192.39x = 107,324,051.45
  5. Step 5: Solve for x
    x = 107,324,051.45/11,192.39
  6. Step 6: Final answer
    x = 9,589.02

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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.