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Finding the Fourth Proportional to 5,413.72, 8,121 and 1,716.16

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Solution

The fourth proportional to 5,413.72, 8,121 and 1,716.16 is: 2,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.72 : 8,121 = 1,716.16 : x
  2. Step 2: Convert to fraction form
    5,413.72/8,121 = 1,716.16/x
  3. Step 3: Cross multiply
    5,413.72x = 8,121 × 1,716.16
  4. Step 4: Simplify right side
    5,413.72x = 13,936,935.36
  5. Step 5: Solve for x
    x = 13,936,935.36/5,413.72
  6. Step 6: Final answer
    x = 2,574.37

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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.