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Finding the Fourth Proportional to 20,221.75, 30,337.67 and 7,742.75

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Solution

The fourth proportional to 20,221.75, 30,337.67 and 7,742.75 is: 11,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.75 : 30,337.67 = 7,742.75 : x
  2. Step 2: Convert to fraction form
    20,221.75/30,337.67 = 7,742.75/x
  3. Step 3: Cross multiply
    20,221.75x = 30,337.67 × 7,742.75
  4. Step 4: Simplify right side
    20,221.75x = 234,896,994.39
  5. Step 5: Solve for x
    x = 234,896,994.39/20,221.75
  6. Step 6: Final answer
    x = 11,616.06

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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.