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Finding the Fourth Proportional to 20,221.92, 27,907.20 and 11,841.12

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Solution

The fourth proportional to 20,221.92, 27,907.20 and 11,841.12 is: 16,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.92 : 27,907.20 = 11,841.12 : x
  2. Step 2: Convert to fraction form
    20,221.92/27,907.20 = 11,841.12/x
  3. Step 3: Cross multiply
    20,221.92x = 27,907.20 × 11,841.12
  4. Step 4: Simplify right side
    20,221.92x = 330,452,504.06
  5. Step 5: Solve for x
    x = 330,452,504.06/20,221.92
  6. Step 6: Final answer
    x = 16,341.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.