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Finding the Fourth Proportional to 33,831, 46,686.78 and 18,927

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Solution

The fourth proportional to 33,831, 46,686.78 and 18,927 is: 26,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831 : 46,686.78 = 18,927 : x
  2. Step 2: Convert to fraction form
    33,831/46,686.78 = 18,927/x
  3. Step 3: Cross multiply
    33,831x = 46,686.78 × 18,927
  4. Step 4: Simplify right side
    33,831x = 883,640,685.06
  5. Step 5: Solve for x
    x = 883,640,685.06/33,831
  6. Step 6: Final answer
    x = 26,119.26

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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.