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Finding the Fourth Proportional to 22,161, 30,584.34 and 12,225

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Solution

The fourth proportional to 22,161, 30,584.34 and 12,225 is: 16,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161 : 30,584.34 = 12,225 : x
  2. Step 2: Convert to fraction form
    22,161/30,584.34 = 12,225/x
  3. Step 3: Cross multiply
    22,161x = 30,584.34 × 12,225
  4. Step 4: Simplify right side
    22,161x = 373,893,556.50
  5. Step 5: Solve for x
    x = 373,893,556.50/22,161
  6. Step 6: Final answer
    x = 16,871.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.