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Finding the Fourth Proportional to 16,241.44, 22,413.20 and 8,789.44

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Solution

The fourth proportional to 16,241.44, 22,413.20 and 8,789.44 is: 12,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.44 : 22,413.20 = 8,789.44 : x
  2. Step 2: Convert to fraction form
    16,241.44/22,413.20 = 8,789.44/x
  3. Step 3: Cross multiply
    16,241.44x = 22,413.20 × 8,789.44
  4. Step 4: Simplify right side
    16,241.44x = 196,999,376.63
  5. Step 5: Solve for x
    x = 196,999,376.63/16,241.44
  6. Step 6: Final answer
    x = 12,129.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.