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Finding the Fourth Proportional to 3,605.19, 5,413.97 and 1,964.94

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Solution

The fourth proportional to 3,605.19, 5,413.97 and 1,964.94 is: 2,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.19 : 5,413.97 = 1,964.94 : x
  2. Step 2: Convert to fraction form
    3,605.19/5,413.97 = 1,964.94/x
  3. Step 3: Cross multiply
    3,605.19x = 5,413.97 × 1,964.94
  4. Step 4: Simplify right side
    3,605.19x = 10,638,126.21
  5. Step 5: Solve for x
    x = 10,638,126.21/3,605.19
  6. Step 6: Final answer
    x = 2,950.78

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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.