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Finding the Fourth Proportional to 22,125, 30,532.50 and 12,189

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Solution

The fourth proportional to 22,125, 30,532.50 and 12,189 is: 16,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,125 : 30,532.50 = 12,189 : x
  2. Step 2: Convert to fraction form
    22,125/30,532.50 = 12,189/x
  3. Step 3: Cross multiply
    22,125x = 30,532.50 × 12,189
  4. Step 4: Simplify right side
    22,125x = 372,160,642.50
  5. Step 5: Solve for x
    x = 372,160,642.50/22,125
  6. Step 6: Final answer
    x = 16,820.82

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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.