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Finding the Fourth Proportional to 2,009.64, 2,791.90 and 1,991.62

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Solution

The fourth proportional to 2,009.64, 2,791.90 and 1,991.62 is: 2,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.64 : 2,791.90 = 1,991.62 : x
  2. Step 2: Convert to fraction form
    2,009.64/2,791.90 = 1,991.62/x
  3. Step 3: Cross multiply
    2,009.64x = 2,791.90 × 1,991.62
  4. Step 4: Simplify right side
    2,009.64x = 5,560,409.86
  5. Step 5: Solve for x
    x = 5,560,409.86/2,009.64
  6. Step 6: Final answer
    x = 2,766.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.