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Finding the Fourth Proportional to 2,949, 4,413.86 and 2,168.78

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Solution

The fourth proportional to 2,949, 4,413.86 and 2,168.78 is: 3,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949 : 4,413.86 = 2,168.78 : x
  2. Step 2: Convert to fraction form
    2,949/4,413.86 = 2,168.78/x
  3. Step 3: Cross multiply
    2,949x = 4,413.86 × 2,168.78
  4. Step 4: Simplify right side
    2,949x = 9,572,691.29
  5. Step 5: Solve for x
    x = 9,572,691.29/2,949
  6. Step 6: Final answer
    x = 3,246.08

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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.