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Finding the Fourth Proportional to 20,245.98, 30,372.21 and 9,152.22

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Solution

The fourth proportional to 20,245.98, 30,372.21 and 9,152.22 is: 13,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.98 : 30,372.21 = 9,152.22 : x
  2. Step 2: Convert to fraction form
    20,245.98/30,372.21 = 9,152.22/x
  3. Step 3: Cross multiply
    20,245.98x = 30,372.21 × 9,152.22
  4. Step 4: Simplify right side
    20,245.98x = 277,973,147.81
  5. Step 5: Solve for x
    x = 277,973,147.81/20,245.98
  6. Step 6: Final answer
    x = 13,729.79

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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.