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Finding the Fourth Proportional to 3,413.58, 5,120.67 and 1,465.32

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Solution

The fourth proportional to 3,413.58, 5,120.67 and 1,465.32 is: 2,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.58 : 5,120.67 = 1,465.32 : x
  2. Step 2: Convert to fraction form
    3,413.58/5,120.67 = 1,465.32/x
  3. Step 3: Cross multiply
    3,413.58x = 5,120.67 × 1,465.32
  4. Step 4: Simplify right side
    3,413.58x = 7,503,420.16
  5. Step 5: Solve for x
    x = 7,503,420.16/3,413.58
  6. Step 6: Final answer
    x = 2,198.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.