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Finding the Fourth Proportional to 1,979.86, 2,733.08 and 1,183.46

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Solution

The fourth proportional to 1,979.86, 2,733.08 and 1,183.46 is: 1,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.86 : 2,733.08 = 1,183.46 : x
  2. Step 2: Convert to fraction form
    1,979.86/2,733.08 = 1,183.46/x
  3. Step 3: Cross multiply
    1,979.86x = 2,733.08 × 1,183.46
  4. Step 4: Simplify right side
    1,979.86x = 3,234,490.86
  5. Step 5: Solve for x
    x = 3,234,490.86/1,979.86
  6. Step 6: Final answer
    x = 1,633.70

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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.