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Finding the Fourth Proportional to 20,236.75, 30,359.99 and 6,385.75

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Solution

The fourth proportional to 20,236.75, 30,359.99 and 6,385.75 is: 9,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.75 : 30,359.99 = 6,385.75 : x
  2. Step 2: Convert to fraction form
    20,236.75/30,359.99 = 6,385.75/x
  3. Step 3: Cross multiply
    20,236.75x = 30,359.99 × 6,385.75
  4. Step 4: Simplify right side
    20,236.75x = 193,871,306.14
  5. Step 5: Solve for x
    x = 193,871,306.14/20,236.75
  6. Step 6: Final answer
    x = 9,580.16

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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.