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Finding the Fourth Proportional to 20,065.96, 30,069.78 and 11,256

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Solution

The fourth proportional to 20,065.96, 30,069.78 and 11,256 is: 16,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.96 : 30,069.78 = 11,256 : x
  2. Step 2: Convert to fraction form
    20,065.96/30,069.78 = 11,256/x
  3. Step 3: Cross multiply
    20,065.96x = 30,069.78 × 11,256
  4. Step 4: Simplify right side
    20,065.96x = 338,465,443.68
  5. Step 5: Solve for x
    x = 338,465,443.68/20,065.96
  6. Step 6: Final answer
    x = 16,867.64

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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.