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Finding the Fourth Proportional to 20,509.15, 30,764.39 and 6,469.31

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Solution

The fourth proportional to 20,509.15, 30,764.39 and 6,469.31 is: 9,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.15 : 30,764.39 = 6,469.31 : x
  2. Step 2: Convert to fraction form
    20,509.15/30,764.39 = 6,469.31/x
  3. Step 3: Cross multiply
    20,509.15x = 30,764.39 × 6,469.31
  4. Step 4: Simplify right side
    20,509.15x = 199,024,375.87
  5. Step 5: Solve for x
    x = 199,024,375.87/20,509.15
  6. Step 6: Final answer
    x = 9,704.17

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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.