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Finding the Fourth Proportional to 21,836.82, 32,767.92 and 9,185.65

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Solution

The fourth proportional to 21,836.82, 32,767.92 and 9,185.65 is: 13,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836.82 : 32,767.92 = 9,185.65 : x
  2. Step 2: Convert to fraction form
    21,836.82/32,767.92 = 9,185.65/x
  3. Step 3: Cross multiply
    21,836.82x = 32,767.92 × 9,185.65
  4. Step 4: Simplify right side
    21,836.82x = 300,994,571.68
  5. Step 5: Solve for x
    x = 300,994,571.68/21,836.82
  6. Step 6: Final answer
    x = 13,783.81

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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.