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Finding the Fourth Proportional to 5,378, 7,413.96 and 3,809.68

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Solution

The fourth proportional to 5,378, 7,413.96 and 3,809.68 is: 5,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 7,413.96 = 3,809.68 : x
  2. Step 2: Convert to fraction form
    5,378/7,413.96 = 3,809.68/x
  3. Step 3: Cross multiply
    5,378x = 7,413.96 × 3,809.68
  4. Step 4: Simplify right side
    5,378x = 28,244,815.13
  5. Step 5: Solve for x
    x = 28,244,815.13/5,378
  6. Step 6: Final answer
    x = 5,251.92

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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.