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Finding the Fourth Proportional to 33,842.25, 50,763.38 and 9,218.25

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Solution

The fourth proportional to 33,842.25, 50,763.38 and 9,218.25 is: 13,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.25 : 50,763.38 = 9,218.25 : x
  2. Step 2: Convert to fraction form
    33,842.25/50,763.38 = 9,218.25/x
  3. Step 3: Cross multiply
    33,842.25x = 50,763.38 × 9,218.25
  4. Step 4: Simplify right side
    33,842.25x = 467,949,481.59
  5. Step 5: Solve for x
    x = 467,949,481.59/33,842.25
  6. Step 6: Final answer
    x = 13,827.38

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1.5x scale

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.