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Finding the Fourth Proportional to 20,608.84, 30,889.68 and 8,122

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Solution

The fourth proportional to 20,608.84, 30,889.68 and 8,122 is: 12,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608.84 : 30,889.68 = 8,122 : x
  2. Step 2: Convert to fraction form
    20,608.84/30,889.68 = 8,122/x
  3. Step 3: Cross multiply
    20,608.84x = 30,889.68 × 8,122
  4. Step 4: Simplify right side
    20,608.84x = 250,885,980.96
  5. Step 5: Solve for x
    x = 250,885,980.96/20,608.84
  6. Step 6: Final answer
    x = 12,173.71

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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.