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Finding the Fourth Proportional to 5,851.32, 8,074.49 and 3,198.21

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Solution

The fourth proportional to 5,851.32, 8,074.49 and 3,198.21 is: 4,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.32 : 8,074.49 = 3,198.21 : x
  2. Step 2: Convert to fraction form
    5,851.32/8,074.49 = 3,198.21/x
  3. Step 3: Cross multiply
    5,851.32x = 8,074.49 × 3,198.21
  4. Step 4: Simplify right side
    5,851.32x = 25,823,898.67
  5. Step 5: Solve for x
    x = 25,823,898.67/5,851.32
  6. Step 6: Final answer
    x = 4,413.35

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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.