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Finding the Fourth Proportional to 20,489.72, 30,720 and 12,149.96

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Solution

The fourth proportional to 20,489.72, 30,720 and 12,149.96 is: 18,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.72 : 30,720 = 12,149.96 : x
  2. Step 2: Convert to fraction form
    20,489.72/30,720 = 12,149.96/x
  3. Step 3: Cross multiply
    20,489.72x = 30,720 × 12,149.96
  4. Step 4: Simplify right side
    20,489.72x = 373,246,771.20
  5. Step 5: Solve for x
    x = 373,246,771.20/20,489.72
  6. Step 6: Final answer
    x = 18,216.29

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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.