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Finding the Fourth Proportional to 5,647.50, 7,793.55 and 3,163.50

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Solution

The fourth proportional to 5,647.50, 7,793.55 and 3,163.50 is: 4,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.50 : 7,793.55 = 3,163.50 : x
  2. Step 2: Convert to fraction form
    5,647.50/7,793.55 = 3,163.50/x
  3. Step 3: Cross multiply
    5,647.50x = 7,793.55 × 3,163.50
  4. Step 4: Simplify right side
    5,647.50x = 24,654,895.43
  5. Step 5: Solve for x
    x = 24,654,895.43/5,647.50
  6. Step 6: Final answer
    x = 4,365.63

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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.