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Finding the Fourth Proportional to 5,413.87, 8,117.21 and 1,950.67

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Solution

The fourth proportional to 5,413.87, 8,117.21 and 1,950.67 is: 2,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.87 : 8,117.21 = 1,950.67 : x
  2. Step 2: Convert to fraction form
    5,413.87/8,117.21 = 1,950.67/x
  3. Step 3: Cross multiply
    5,413.87x = 8,117.21 × 1,950.67
  4. Step 4: Simplify right side
    5,413.87x = 15,833,988.28
  5. Step 5: Solve for x
    x = 15,833,988.28/5,413.87
  6. Step 6: Final answer
    x = 2,924.71

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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.