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Finding the Fourth Proportional to 20,413.56, 30,621.48 and 6,375.53

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Solution

The fourth proportional to 20,413.56, 30,621.48 and 6,375.53 is: 9,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.56 : 30,621.48 = 6,375.53 : x
  2. Step 2: Convert to fraction form
    20,413.56/30,621.48 = 6,375.53/x
  3. Step 3: Cross multiply
    20,413.56x = 30,621.48 × 6,375.53
  4. Step 4: Simplify right side
    20,413.56x = 195,228,011.28
  5. Step 5: Solve for x
    x = 195,228,011.28/20,413.56
  6. Step 6: Final answer
    x = 9,563.64

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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.