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Finding the Fourth Proportional to 8,827.50, 13,241.22 and 5,542.90

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Solution

The fourth proportional to 8,827.50, 13,241.22 and 5,542.90 is: 8,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.50 : 13,241.22 = 5,542.90 : x
  2. Step 2: Convert to fraction form
    8,827.50/13,241.22 = 5,542.90/x
  3. Step 3: Cross multiply
    8,827.50x = 13,241.22 × 5,542.90
  4. Step 4: Simplify right side
    8,827.50x = 73,394,725.23
  5. Step 5: Solve for x
    x = 73,394,725.23/8,827.50
  6. Step 6: Final answer
    x = 8,314.33

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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.