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Finding the Fourth Proportional to 22,212, 33,334.20 and 8,361

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Solution

The fourth proportional to 22,212, 33,334.20 and 8,361 is: 12,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,212 : 33,334.20 = 8,361 : x
  2. Step 2: Convert to fraction form
    22,212/33,334.20 = 8,361/x
  3. Step 3: Cross multiply
    22,212x = 33,334.20 × 8,361
  4. Step 4: Simplify right side
    22,212x = 278,707,246.20
  5. Step 5: Solve for x
    x = 278,707,246.20/22,212
  6. Step 6: Final answer
    x = 12,547.60

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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.