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Finding the Fourth Proportional to 15,104.54, 20,843.84 and 8,390

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Solution

The fourth proportional to 15,104.54, 20,843.84 and 8,390 is: 11,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.54 : 20,843.84 = 8,390 : x
  2. Step 2: Convert to fraction form
    15,104.54/20,843.84 = 8,390/x
  3. Step 3: Cross multiply
    15,104.54x = 20,843.84 × 8,390
  4. Step 4: Simplify right side
    15,104.54x = 174,879,817.60
  5. Step 5: Solve for x
    x = 174,879,817.60/15,104.54
  6. Step 6: Final answer
    x = 11,577.96

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