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Finding the Fourth Proportional to 1,980.54, 2,732.90 and 1,183.86

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Solution

The fourth proportional to 1,980.54, 2,732.90 and 1,183.86 is: 1,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.54 : 2,732.90 = 1,183.86 : x
  2. Step 2: Convert to fraction form
    1,980.54/2,732.90 = 1,183.86/x
  3. Step 3: Cross multiply
    1,980.54x = 2,732.90 × 1,183.86
  4. Step 4: Simplify right side
    1,980.54x = 3,235,365.07
  5. Step 5: Solve for x
    x = 3,235,365.07/1,980.54
  6. Step 6: Final answer
    x = 1,633.58

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Why These Related Problems?

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