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Finding the Fourth Proportional to 6,279.07, 9,413.22 and 2,578.99

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Solution

The fourth proportional to 6,279.07, 9,413.22 and 2,578.99 is: 3,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.07 : 9,413.22 = 2,578.99 : x
  2. Step 2: Convert to fraction form
    6,279.07/9,413.22 = 2,578.99/x
  3. Step 3: Cross multiply
    6,279.07x = 9,413.22 × 2,578.99
  4. Step 4: Simplify right side
    6,279.07x = 24,276,600.25
  5. Step 5: Solve for x
    x = 24,276,600.25/6,279.07
  6. Step 6: Final answer
    x = 3,866.27

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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.