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Finding the Fourth Proportional to 6,413.68, 8,850.53 and 3,619

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Solution

The fourth proportional to 6,413.68, 8,850.53 and 3,619 is: 4,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.68 : 8,850.53 = 3,619 : x
  2. Step 2: Convert to fraction form
    6,413.68/8,850.53 = 3,619/x
  3. Step 3: Cross multiply
    6,413.68x = 8,850.53 × 3,619
  4. Step 4: Simplify right side
    6,413.68x = 32,030,068.07
  5. Step 5: Solve for x
    x = 32,030,068.07/6,413.68
  6. Step 6: Final answer
    x = 4,994.02

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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.