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Finding the Fourth Proportional to 20,719, 28,592.82 and 11,767

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Solution

The fourth proportional to 20,719, 28,592.82 and 11,767 is: 16,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719 : 28,592.82 = 11,767 : x
  2. Step 2: Convert to fraction form
    20,719/28,592.82 = 11,767/x
  3. Step 3: Cross multiply
    20,719x = 28,592.82 × 11,767
  4. Step 4: Simplify right side
    20,719x = 336,451,712.94
  5. Step 5: Solve for x
    x = 336,451,712.94/20,719
  6. Step 6: Final answer
    x = 16,238.80

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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.