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Finding the Fourth Proportional to 20,805, 31,207.50 and 6,213

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Solution

The fourth proportional to 20,805, 31,207.50 and 6,213 is: 9,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805 : 31,207.50 = 6,213 : x
  2. Step 2: Convert to fraction form
    20,805/31,207.50 = 6,213/x
  3. Step 3: Cross multiply
    20,805x = 31,207.50 × 6,213
  4. Step 4: Simplify right side
    20,805x = 193,892,197.50
  5. Step 5: Solve for x
    x = 193,892,197.50/20,805
  6. Step 6: Final answer
    x = 9,319.50

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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.