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Finding the Fourth Proportional to 2,489.82, 3,734.73 and 1,768.11

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Solution

The fourth proportional to 2,489.82, 3,734.73 and 1,768.11 is: 2,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.82 : 3,734.73 = 1,768.11 : x
  2. Step 2: Convert to fraction form
    2,489.82/3,734.73 = 1,768.11/x
  3. Step 3: Cross multiply
    2,489.82x = 3,734.73 × 1,768.11
  4. Step 4: Simplify right side
    2,489.82x = 6,603,413.46
  5. Step 5: Solve for x
    x = 6,603,413.46/2,489.82
  6. Step 6: Final answer
    x = 2,652.17

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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.