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Finding the Fourth Proportional to 10,909.25, 16,361.78 and 3,009.80

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Solution

The fourth proportional to 10,909.25, 16,361.78 and 3,009.80 is: 4,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.25 : 16,361.78 = 3,009.80 : x
  2. Step 2: Convert to fraction form
    10,909.25/16,361.78 = 3,009.80/x
  3. Step 3: Cross multiply
    10,909.25x = 16,361.78 × 3,009.80
  4. Step 4: Simplify right side
    10,909.25x = 49,245,733.87
  5. Step 5: Solve for x
    x = 49,245,733.87/10,909.25
  6. Step 6: Final answer
    x = 4,514.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.