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Finding the Fourth Proportional to 11,203.80, 16,808.19 and 3,413.22

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Solution

The fourth proportional to 11,203.80, 16,808.19 and 3,413.22 is: 5,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.80 : 16,808.19 = 3,413.22 : x
  2. Step 2: Convert to fraction form
    11,203.80/16,808.19 = 3,413.22/x
  3. Step 3: Cross multiply
    11,203.80x = 16,808.19 × 3,413.22
  4. Step 4: Simplify right side
    11,203.80x = 57,370,050.27
  5. Step 5: Solve for x
    x = 57,370,050.27/11,203.80
  6. Step 6: Final answer
    x = 5,120.59

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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.