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Finding the Fourth Proportional to 1,857.77, 2,786.75 and 1,336.33

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Solution

The fourth proportional to 1,857.77, 2,786.75 and 1,336.33 is: 2,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.77 : 2,786.75 = 1,336.33 : x
  2. Step 2: Convert to fraction form
    1,857.77/2,786.75 = 1,336.33/x
  3. Step 3: Cross multiply
    1,857.77x = 2,786.75 × 1,336.33
  4. Step 4: Simplify right side
    1,857.77x = 3,723,997.01
  5. Step 5: Solve for x
    x = 3,723,997.01/1,857.77
  6. Step 6: Final answer
    x = 2,004.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.