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Finding the Fourth Proportional to 12,009.75, 18,021.11 and 5,853.75

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Solution

The fourth proportional to 12,009.75, 18,021.11 and 5,853.75 is: 8,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.75 : 18,021.11 = 5,853.75 : x
  2. Step 2: Convert to fraction form
    12,009.75/18,021.11 = 5,853.75/x
  3. Step 3: Cross multiply
    12,009.75x = 18,021.11 × 5,853.75
  4. Step 4: Simplify right side
    12,009.75x = 105,491,043.39
  5. Step 5: Solve for x
    x = 105,491,043.39/12,009.75
  6. Step 6: Final answer
    x = 8,783.78

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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.