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Finding the Fourth Proportional to 6,413.50, 8,850.90 and 3,619

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Solution

The fourth proportional to 6,413.50, 8,850.90 and 3,619 is: 4,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.50 : 8,850.90 = 3,619 : x
  2. Step 2: Convert to fraction form
    6,413.50/8,850.90 = 3,619/x
  3. Step 3: Cross multiply
    6,413.50x = 8,850.90 × 3,619
  4. Step 4: Simplify right side
    6,413.50x = 32,031,407.10
  5. Step 5: Solve for x
    x = 32,031,407.10/6,413.50
  6. Step 6: Final answer
    x = 4,994.37

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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.