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Finding the Fourth Proportional to 5,653.81, 8,469.15 and 2,647.54

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Solution

The fourth proportional to 5,653.81, 8,469.15 and 2,647.54 is: 3,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.81 : 8,469.15 = 2,647.54 : x
  2. Step 2: Convert to fraction form
    5,653.81/8,469.15 = 2,647.54/x
  3. Step 3: Cross multiply
    5,653.81x = 8,469.15 × 2,647.54
  4. Step 4: Simplify right side
    5,653.81x = 22,422,413.39
  5. Step 5: Solve for x
    x = 22,422,413.39/5,653.81
  6. Step 6: Final answer
    x = 3,965.89

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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.