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Finding the Fourth Proportional to 20,002, 30,004.48 and 7,690

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Solution

The fourth proportional to 20,002, 30,004.48 and 7,690 is: 11,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002 : 30,004.48 = 7,690 : x
  2. Step 2: Convert to fraction form
    20,002/30,004.48 = 7,690/x
  3. Step 3: Cross multiply
    20,002x = 30,004.48 × 7,690
  4. Step 4: Simplify right side
    20,002x = 230,734,451.20
  5. Step 5: Solve for x
    x = 230,734,451.20/20,002
  6. Step 6: Final answer
    x = 11,535.57

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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.