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Finding the Fourth Proportional to 2,202.81, 3,039.81 and 1,208.06

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Solution

The fourth proportional to 2,202.81, 3,039.81 and 1,208.06 is: 1,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.81 : 3,039.81 = 1,208.06 : x
  2. Step 2: Convert to fraction form
    2,202.81/3,039.81 = 1,208.06/x
  3. Step 3: Cross multiply
    2,202.81x = 3,039.81 × 1,208.06
  4. Step 4: Simplify right side
    2,202.81x = 3,672,288.43
  5. Step 5: Solve for x
    x = 3,672,288.43/2,202.81
  6. Step 6: Final answer
    x = 1,667.09

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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.