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Finding the Fourth Proportional to 20,837, 31,255.50 and 6,245

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Solution

The fourth proportional to 20,837, 31,255.50 and 6,245 is: 9,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,837 : 31,255.50 = 6,245 : x
  2. Step 2: Convert to fraction form
    20,837/31,255.50 = 6,245/x
  3. Step 3: Cross multiply
    20,837x = 31,255.50 × 6,245
  4. Step 4: Simplify right side
    20,837x = 195,190,597.50
  5. Step 5: Solve for x
    x = 195,190,597.50/20,837
  6. Step 6: Final answer
    x = 9,367.50

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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.