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Finding the Fourth Proportional to 3,924.88, 5,413.44 and 3,400

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Solution

The fourth proportional to 3,924.88, 5,413.44 and 3,400 is: 4,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.88 : 5,413.44 = 3,400 : x
  2. Step 2: Convert to fraction form
    3,924.88/5,413.44 = 3,400/x
  3. Step 3: Cross multiply
    3,924.88x = 5,413.44 × 3,400
  4. Step 4: Simplify right side
    3,924.88x = 18,405,696
  5. Step 5: Solve for x
    x = 18,405,696/3,924.88
  6. Step 6: Final answer
    x = 4,689.49

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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.