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Finding the Fourth Proportional to 20,733, 31,099.59 and 6,882

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Solution

The fourth proportional to 20,733, 31,099.59 and 6,882 is: 10,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733 : 31,099.59 = 6,882 : x
  2. Step 2: Convert to fraction form
    20,733/31,099.59 = 6,882/x
  3. Step 3: Cross multiply
    20,733x = 31,099.59 × 6,882
  4. Step 4: Simplify right side
    20,733x = 214,027,378.38
  5. Step 5: Solve for x
    x = 214,027,378.38/20,733
  6. Step 6: Final answer
    x = 10,323.03

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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.