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Finding the Fourth Proportional to 20,168, 27,831.84 and 11,336

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Solution

The fourth proportional to 20,168, 27,831.84 and 11,336 is: 15,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168 : 27,831.84 = 11,336 : x
  2. Step 2: Convert to fraction form
    20,168/27,831.84 = 11,336/x
  3. Step 3: Cross multiply
    20,168x = 27,831.84 × 11,336
  4. Step 4: Simplify right side
    20,168x = 315,501,738.24
  5. Step 5: Solve for x
    x = 315,501,738.24/20,168
  6. Step 6: Final answer
    x = 15,643.68

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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.