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Finding the Fourth Proportional to 13,722, 18,936.69 and 8,413.74

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Solution

The fourth proportional to 13,722, 18,936.69 and 8,413.74 is: 11,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722 : 18,936.69 = 8,413.74 : x
  2. Step 2: Convert to fraction form
    13,722/18,936.69 = 8,413.74/x
  3. Step 3: Cross multiply
    13,722x = 18,936.69 × 8,413.74
  4. Step 4: Simplify right side
    13,722x = 159,328,386.12
  5. Step 5: Solve for x
    x = 159,328,386.12/13,722
  6. Step 6: Final answer
    x = 11,611.16

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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.