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Finding the Fourth Proportional to 6,413.05, 9,602.20 and 3,328.57

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Solution

The fourth proportional to 6,413.05, 9,602.20 and 3,328.57 is: 4,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.05 : 9,602.20 = 3,328.57 : x
  2. Step 2: Convert to fraction form
    6,413.05/9,602.20 = 3,328.57/x
  3. Step 3: Cross multiply
    6,413.05x = 9,602.20 × 3,328.57
  4. Step 4: Simplify right side
    6,413.05x = 31,961,594.85
  5. Step 5: Solve for x
    x = 31,961,594.85/6,413.05
  6. Step 6: Final answer
    x = 4,983.84

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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.