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Finding the Fourth Proportional to 20,221.20, 30,342.60 and 9,129.60

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Solution

The fourth proportional to 20,221.20, 30,342.60 and 9,129.60 is: 13,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.20 : 30,342.60 = 9,129.60 : x
  2. Step 2: Convert to fraction form
    20,221.20/30,342.60 = 9,129.60/x
  3. Step 3: Cross multiply
    20,221.20x = 30,342.60 × 9,129.60
  4. Step 4: Simplify right side
    20,221.20x = 277,015,800.96
  5. Step 5: Solve for x
    x = 277,015,800.96/20,221.20
  6. Step 6: Final answer
    x = 13,699.28

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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.