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Finding the Fourth Proportional to 8,091.84, 12,134.30 and 3,413.94

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Solution

The fourth proportional to 8,091.84, 12,134.30 and 3,413.94 is: 5,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.84 : 12,134.30 = 3,413.94 : x
  2. Step 2: Convert to fraction form
    8,091.84/12,134.30 = 3,413.94/x
  3. Step 3: Cross multiply
    8,091.84x = 12,134.30 × 3,413.94
  4. Step 4: Simplify right side
    8,091.84x = 41,425,772.14
  5. Step 5: Solve for x
    x = 41,425,772.14/8,091.84
  6. Step 6: Final answer
    x = 5,119.45

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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.