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Finding the Fourth Proportional to 20,193.76, 27,865.56 and 11,241.76

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Solution

The fourth proportional to 20,193.76, 27,865.56 and 11,241.76 is: 15,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.76 : 27,865.56 = 11,241.76 : x
  2. Step 2: Convert to fraction form
    20,193.76/27,865.56 = 11,241.76/x
  3. Step 3: Cross multiply
    20,193.76x = 27,865.56 × 11,241.76
  4. Step 4: Simplify right side
    20,193.76x = 313,257,937.79
  5. Step 5: Solve for x
    x = 313,257,937.79/20,193.76
  6. Step 6: Final answer
    x = 15,512.61

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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.