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Finding the Fourth Proportional to 22,182, 30,611.20 and 12,246

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Solution

The fourth proportional to 22,182, 30,611.20 and 12,246 is: 16,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182 : 30,611.20 = 12,246 : x
  2. Step 2: Convert to fraction form
    22,182/30,611.20 = 12,246/x
  3. Step 3: Cross multiply
    22,182x = 30,611.20 × 12,246
  4. Step 4: Simplify right side
    22,182x = 374,864,755.20
  5. Step 5: Solve for x
    x = 374,864,755.20/22,182
  6. Step 6: Final answer
    x = 16,899.50

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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.