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Finding the Fourth Proportional to 2,011, 2,775.34 and 1,183.16

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Solution

The fourth proportional to 2,011, 2,775.34 and 1,183.16 is: 1,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011 : 2,775.34 = 1,183.16 : x
  2. Step 2: Convert to fraction form
    2,011/2,775.34 = 1,183.16/x
  3. Step 3: Cross multiply
    2,011x = 2,775.34 × 1,183.16
  4. Step 4: Simplify right side
    2,011x = 3,283,671.27
  5. Step 5: Solve for x
    x = 3,283,671.27/2,011
  6. Step 6: Final answer
    x = 1,632.85

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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.