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Finding the Fourth Proportional to 20,490.45, 30,743.06 and 8,019.42

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Solution

The fourth proportional to 20,490.45, 30,743.06 and 8,019.42 is: 12,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490.45 : 30,743.06 = 8,019.42 : x
  2. Step 2: Convert to fraction form
    20,490.45/30,743.06 = 8,019.42/x
  3. Step 3: Cross multiply
    20,490.45x = 30,743.06 × 8,019.42
  4. Step 4: Simplify right side
    20,490.45x = 246,541,470.13
  5. Step 5: Solve for x
    x = 246,541,470.13/20,490.45
  6. Step 6: Final answer
    x = 12,032.02

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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.