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Finding the Fourth Proportional to 3,906.86, 5,391.63 and 2,413.62

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Solution

The fourth proportional to 3,906.86, 5,391.63 and 2,413.62 is: 3,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.86 : 5,391.63 = 2,413.62 : x
  2. Step 2: Convert to fraction form
    3,906.86/5,391.63 = 2,413.62/x
  3. Step 3: Cross multiply
    3,906.86x = 5,391.63 × 2,413.62
  4. Step 4: Simplify right side
    3,906.86x = 13,013,346.00
  5. Step 5: Solve for x
    x = 13,013,346.00/3,906.86
  6. Step 6: Final answer
    x = 3,330.90

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1.5x scale

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.