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Finding the Fourth Proportional to 22,268.72, 33,380.04 and 8,408

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Solution

The fourth proportional to 22,268.72, 33,380.04 and 8,408 is: 12,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.72 : 33,380.04 = 8,408 : x
  2. Step 2: Convert to fraction form
    22,268.72/33,380.04 = 8,408/x
  3. Step 3: Cross multiply
    22,268.72x = 33,380.04 × 8,408
  4. Step 4: Simplify right side
    22,268.72x = 280,659,376.32
  5. Step 5: Solve for x
    x = 280,659,376.32/22,268.72
  6. Step 6: Final answer
    x = 12,603.30

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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.