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Finding the Fourth Proportional to 11,165.88, 15,413.94 and 8,181.84

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Solution

The fourth proportional to 11,165.88, 15,413.94 and 8,181.84 is: 11,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.88 : 15,413.94 = 8,181.84 : x
  2. Step 2: Convert to fraction form
    11,165.88/15,413.94 = 8,181.84/x
  3. Step 3: Cross multiply
    11,165.88x = 15,413.94 × 8,181.84
  4. Step 4: Simplify right side
    11,165.88x = 126,114,390.85
  5. Step 5: Solve for x
    x = 126,114,390.85/11,165.88
  6. Step 6: Final answer
    x = 11,294.62

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1.5x scale

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.