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Finding the Fourth Proportional to 36,831.80, 50,825.46 and 21,721

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Solution

The fourth proportional to 36,831.80, 50,825.46 and 21,721 is: 29,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,831.80 : 50,825.46 = 21,721 : x
  2. Step 2: Convert to fraction form
    36,831.80/50,825.46 = 21,721/x
  3. Step 3: Cross multiply
    36,831.80x = 50,825.46 × 21,721
  4. Step 4: Simplify right side
    36,831.80x = 1,103,979,816.66
  5. Step 5: Solve for x
    x = 1,103,979,816.66/36,831.80
  6. Step 6: Final answer
    x = 29,973.55

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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.