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Finding the Fourth Proportional to 13,413.16, 20,121.90 and 4,177

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Solution

The fourth proportional to 13,413.16, 20,121.90 and 4,177 is: 6,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.16 : 20,121.90 = 4,177 : x
  2. Step 2: Convert to fraction form
    13,413.16/20,121.90 = 4,177/x
  3. Step 3: Cross multiply
    13,413.16x = 20,121.90 × 4,177
  4. Step 4: Simplify right side
    13,413.16x = 84,049,176.30
  5. Step 5: Solve for x
    x = 84,049,176.30/13,413.16
  6. Step 6: Final answer
    x = 6,266.17

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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.