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Finding the Fourth Proportional to 18,294.94, 27,421.70 and 8,413.82

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Solution

The fourth proportional to 18,294.94, 27,421.70 and 8,413.82 is: 12,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.94 : 27,421.70 = 8,413.82 : x
  2. Step 2: Convert to fraction form
    18,294.94/27,421.70 = 8,413.82/x
  3. Step 3: Cross multiply
    18,294.94x = 27,421.70 × 8,413.82
  4. Step 4: Simplify right side
    18,294.94x = 230,721,247.89
  5. Step 5: Solve for x
    x = 230,721,247.89/18,294.94
  6. Step 6: Final answer
    x = 12,611.21

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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.