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Finding the Fourth Proportional to 3,603, 5,404.68 and 3,413.64

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Solution

The fourth proportional to 3,603, 5,404.68 and 3,413.64 is: 5,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603 : 5,404.68 = 3,413.64 : x
  2. Step 2: Convert to fraction form
    3,603/5,404.68 = 3,413.64/x
  3. Step 3: Cross multiply
    3,603x = 5,404.68 × 3,413.64
  4. Step 4: Simplify right side
    3,603x = 18,449,631.84
  5. Step 5: Solve for x
    x = 18,449,631.84/3,603
  6. Step 6: Final answer
    x = 5,120.63

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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.