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Finding the Fourth Proportional to 20,833, 31,249.50 and 6,241

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Solution

The fourth proportional to 20,833, 31,249.50 and 6,241 is: 9,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833 : 31,249.50 = 6,241 : x
  2. Step 2: Convert to fraction form
    20,833/31,249.50 = 6,241/x
  3. Step 3: Cross multiply
    20,833x = 31,249.50 × 6,241
  4. Step 4: Simplify right side
    20,833x = 195,028,129.50
  5. Step 5: Solve for x
    x = 195,028,129.50/20,833
  6. Step 6: Final answer
    x = 9,361.50

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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.