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Finding the Fourth Proportional to 20,804, 31,211.12 and 6,212

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Solution

The fourth proportional to 20,804, 31,211.12 and 6,212 is: 9,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804 : 31,211.12 = 6,212 : x
  2. Step 2: Convert to fraction form
    20,804/31,211.12 = 6,212/x
  3. Step 3: Cross multiply
    20,804x = 31,211.12 × 6,212
  4. Step 4: Simplify right side
    20,804x = 193,883,477.44
  5. Step 5: Solve for x
    x = 193,883,477.44/20,804
  6. Step 6: Final answer
    x = 9,319.53

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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.