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Finding the Fourth Proportional to 20,563.21, 30,838.44 and 7,413.88

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Solution

The fourth proportional to 20,563.21, 30,838.44 and 7,413.88 is: 11,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.21 : 30,838.44 = 7,413.88 : x
  2. Step 2: Convert to fraction form
    20,563.21/30,838.44 = 7,413.88/x
  3. Step 3: Cross multiply
    20,563.21x = 30,838.44 × 7,413.88
  4. Step 4: Simplify right side
    20,563.21x = 228,632,493.55
  5. Step 5: Solve for x
    x = 228,632,493.55/20,563.21
  6. Step 6: Final answer
    x = 11,118.52

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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.