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Finding the Fourth Proportional to 8,969.44, 13,456.32 and 2,813.44

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Solution

The fourth proportional to 8,969.44, 13,456.32 and 2,813.44 is: 4,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.44 : 13,456.32 = 2,813.44 : x
  2. Step 2: Convert to fraction form
    8,969.44/13,456.32 = 2,813.44/x
  3. Step 3: Cross multiply
    8,969.44x = 13,456.32 × 2,813.44
  4. Step 4: Simplify right side
    8,969.44x = 37,858,504.75
  5. Step 5: Solve for x
    x = 37,858,504.75/8,969.44
  6. Step 6: Final answer
    x = 4,220.83

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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.