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Finding the Fourth Proportional to 20,469.92, 30,698.34 and 7,986.90

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Solution

The fourth proportional to 20,469.92, 30,698.34 and 7,986.90 is: 11,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.92 : 30,698.34 = 7,986.90 : x
  2. Step 2: Convert to fraction form
    20,469.92/30,698.34 = 7,986.90/x
  3. Step 3: Cross multiply
    20,469.92x = 30,698.34 × 7,986.90
  4. Step 4: Simplify right side
    20,469.92x = 245,184,571.75
  5. Step 5: Solve for x
    x = 245,184,571.75/20,469.92
  6. Step 6: Final answer
    x = 11,977.80

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1.5x scale

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.