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Finding the Fourth Proportional to 15,274.20, 22,905.90 and 5,413.80

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Solution

The fourth proportional to 15,274.20, 22,905.90 and 5,413.80 is: 8,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274.20 : 22,905.90 = 5,413.80 : x
  2. Step 2: Convert to fraction form
    15,274.20/22,905.90 = 5,413.80/x
  3. Step 3: Cross multiply
    15,274.20x = 22,905.90 × 5,413.80
  4. Step 4: Simplify right side
    15,274.20x = 124,007,961.42
  5. Step 5: Solve for x
    x = 124,007,961.42/15,274.20
  6. Step 6: Final answer
    x = 8,118.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.