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Finding the Fourth Proportional to 11,831.91, 17,750.49 and 5,169.48

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Solution

The fourth proportional to 11,831.91, 17,750.49 and 5,169.48 is: 7,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.91 : 17,750.49 = 5,169.48 : x
  2. Step 2: Convert to fraction form
    11,831.91/17,750.49 = 5,169.48/x
  3. Step 3: Cross multiply
    11,831.91x = 17,750.49 × 5,169.48
  4. Step 4: Simplify right side
    11,831.91x = 91,760,803.05
  5. Step 5: Solve for x
    x = 91,760,803.05/11,831.91
  6. Step 6: Final answer
    x = 7,755.37

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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.