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Finding the Fourth Proportional to 20,529.28, 30,793.92 and 4,946.90

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Solution

The fourth proportional to 20,529.28, 30,793.92 and 4,946.90 is: 7,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.28 : 30,793.92 = 4,946.90 : x
  2. Step 2: Convert to fraction form
    20,529.28/30,793.92 = 4,946.90/x
  3. Step 3: Cross multiply
    20,529.28x = 30,793.92 × 4,946.90
  4. Step 4: Simplify right side
    20,529.28x = 152,334,552.14
  5. Step 5: Solve for x
    x = 152,334,552.14/20,529.28
  6. Step 6: Final answer
    x = 7,420.36

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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.