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Finding the Fourth Proportional to 22,278, 33,381.82 and 8,218.68

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Solution

The fourth proportional to 22,278, 33,381.82 and 8,218.68 is: 12,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278 : 33,381.82 = 8,218.68 : x
  2. Step 2: Convert to fraction form
    22,278/33,381.82 = 8,218.68/x
  3. Step 3: Cross multiply
    22,278x = 33,381.82 × 8,218.68
  4. Step 4: Simplify right side
    22,278x = 274,354,496.40
  5. Step 5: Solve for x
    x = 274,354,496.40/22,278
  6. Step 6: Final answer
    x = 12,315.04

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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.