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Finding the Fourth Proportional to 4,145.93, 6,218.90 and 3,413.97

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Solution

The fourth proportional to 4,145.93, 6,218.90 and 3,413.97 is: 5,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.93 : 6,218.90 = 3,413.97 : x
  2. Step 2: Convert to fraction form
    4,145.93/6,218.90 = 3,413.97/x
  3. Step 3: Cross multiply
    4,145.93x = 6,218.90 × 3,413.97
  4. Step 4: Simplify right side
    4,145.93x = 21,231,162.12
  5. Step 5: Solve for x
    x = 21,231,162.12/4,145.93
  6. Step 6: Final answer
    x = 5,120.96

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1.5x scale

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.