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Finding the Fourth Proportional to 1,996.22, 2,756.38 and 1,786.02

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Solution

The fourth proportional to 1,996.22, 2,756.38 and 1,786.02 is: 2,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.22 : 2,756.38 = 1,786.02 : x
  2. Step 2: Convert to fraction form
    1,996.22/2,756.38 = 1,786.02/x
  3. Step 3: Cross multiply
    1,996.22x = 2,756.38 × 1,786.02
  4. Step 4: Simplify right side
    1,996.22x = 4,922,949.81
  5. Step 5: Solve for x
    x = 4,922,949.81/1,996.22
  6. Step 6: Final answer
    x = 2,466.14

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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.