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Finding the Fourth Proportional to 2,068.09, 3,102 and 1,608.82

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Solution

The fourth proportional to 2,068.09, 3,102 and 1,608.82 is: 2,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.09 : 3,102 = 1,608.82 : x
  2. Step 2: Convert to fraction form
    2,068.09/3,102 = 1,608.82/x
  3. Step 3: Cross multiply
    2,068.09x = 3,102 × 1,608.82
  4. Step 4: Simplify right side
    2,068.09x = 4,990,559.64
  5. Step 5: Solve for x
    x = 4,990,559.64/2,068.09
  6. Step 6: Final answer
    x = 2,413.12

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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.