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Finding the Fourth Proportional to 2,785.82, 3,844.43 and 1,606.88

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Solution

The fourth proportional to 2,785.82, 3,844.43 and 1,606.88 is: 2,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.82 : 3,844.43 = 1,606.88 : x
  2. Step 2: Convert to fraction form
    2,785.82/3,844.43 = 1,606.88/x
  3. Step 3: Cross multiply
    2,785.82x = 3,844.43 × 1,606.88
  4. Step 4: Simplify right side
    2,785.82x = 6,177,537.68
  5. Step 5: Solve for x
    x = 6,177,537.68/2,785.82
  6. Step 6: Final answer
    x = 2,217.49

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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.