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Finding the Fourth Proportional to 6,100.83, 8,419.82 and 3,413.03

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Solution

The fourth proportional to 6,100.83, 8,419.82 and 3,413.03 is: 4,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.83 : 8,419.82 = 3,413.03 : x
  2. Step 2: Convert to fraction form
    6,100.83/8,419.82 = 3,413.03/x
  3. Step 3: Cross multiply
    6,100.83x = 8,419.82 × 3,413.03
  4. Step 4: Simplify right side
    6,100.83x = 28,737,039.09
  5. Step 5: Solve for x
    x = 28,737,039.09/6,100.83
  6. Step 6: Final answer
    x = 4,710.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.