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Finding the Fourth Proportional to 20,512.62, 30,768.72 and 5,721.50

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Solution

The fourth proportional to 20,512.62, 30,768.72 and 5,721.50 is: 8,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.62 : 30,768.72 = 5,721.50 : x
  2. Step 2: Convert to fraction form
    20,512.62/30,768.72 = 5,721.50/x
  3. Step 3: Cross multiply
    20,512.62x = 30,768.72 × 5,721.50
  4. Step 4: Simplify right side
    20,512.62x = 176,043,231.48
  5. Step 5: Solve for x
    x = 176,043,231.48/20,512.62
  6. Step 6: Final answer
    x = 8,582.19

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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.