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Finding the Fourth Proportional to 20,502.10, 30,747.48 and 8,019.60

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Solution

The fourth proportional to 20,502.10, 30,747.48 and 8,019.60 is: 12,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.10 : 30,747.48 = 8,019.60 : x
  2. Step 2: Convert to fraction form
    20,502.10/30,747.48 = 8,019.60/x
  3. Step 3: Cross multiply
    20,502.10x = 30,747.48 × 8,019.60
  4. Step 4: Simplify right side
    20,502.10x = 246,582,490.61
  5. Step 5: Solve for x
    x = 246,582,490.61/20,502.10
  6. Step 6: Final answer
    x = 12,027.18

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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.