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Finding the Fourth Proportional to 6,413.20, 9,621.20 and 3,641.20

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Solution

The fourth proportional to 6,413.20, 9,621.20 and 3,641.20 is: 5,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.20 : 9,621.20 = 3,641.20 : x
  2. Step 2: Convert to fraction form
    6,413.20/9,621.20 = 3,641.20/x
  3. Step 3: Cross multiply
    6,413.20x = 9,621.20 × 3,641.20
  4. Step 4: Simplify right side
    6,413.20x = 35,032,713.44
  5. Step 5: Solve for x
    x = 35,032,713.44/6,413.20
  6. Step 6: Final answer
    x = 5,462.59

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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.