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Finding the Fourth Proportional to 20,469.70, 30,631.65 and 14,200.30

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Solution

The fourth proportional to 20,469.70, 30,631.65 and 14,200.30 is: 21,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.70 : 30,631.65 = 14,200.30 : x
  2. Step 2: Convert to fraction form
    20,469.70/30,631.65 = 14,200.30/x
  3. Step 3: Cross multiply
    20,469.70x = 30,631.65 × 14,200.30
  4. Step 4: Simplify right side
    20,469.70x = 434,978,619.50
  5. Step 5: Solve for x
    x = 434,978,619.50/20,469.70
  6. Step 6: Final answer
    x = 21,249.88

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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.