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Finding the Fourth Proportional to 6,413.15, 9,619.80 and 2,253.28

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Solution

The fourth proportional to 6,413.15, 9,619.80 and 2,253.28 is: 3,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.15 : 9,619.80 = 2,253.28 : x
  2. Step 2: Convert to fraction form
    6,413.15/9,619.80 = 2,253.28/x
  3. Step 3: Cross multiply
    6,413.15x = 9,619.80 × 2,253.28
  4. Step 4: Simplify right side
    6,413.15x = 21,676,102.94
  5. Step 5: Solve for x
    x = 21,676,102.94/6,413.15
  6. Step 6: Final answer
    x = 3,379.95

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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.