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Finding the Fourth Proportional to 2,183.09, 3,012.19 and 1,396.98

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Solution

The fourth proportional to 2,183.09, 3,012.19 and 1,396.98 is: 1,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.09 : 3,012.19 = 1,396.98 : x
  2. Step 2: Convert to fraction form
    2,183.09/3,012.19 = 1,396.98/x
  3. Step 3: Cross multiply
    2,183.09x = 3,012.19 × 1,396.98
  4. Step 4: Simplify right side
    2,183.09x = 4,207,965.69
  5. Step 5: Solve for x
    x = 4,207,965.69/2,183.09
  6. Step 6: Final answer
    x = 1,927.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.