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Finding the Fourth Proportional to 20,137.84, 27,793.86 and 11,638.79

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Solution

The fourth proportional to 20,137.84, 27,793.86 and 11,638.79 is: 16,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.84 : 27,793.86 = 11,638.79 : x
  2. Step 2: Convert to fraction form
    20,137.84/27,793.86 = 11,638.79/x
  3. Step 3: Cross multiply
    20,137.84x = 27,793.86 × 11,638.79
  4. Step 4: Simplify right side
    20,137.84x = 323,486,854.18
  5. Step 5: Solve for x
    x = 323,486,854.18/20,137.84
  6. Step 6: Final answer
    x = 16,063.63

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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.