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Finding the Fourth Proportional to 1,906.27, 2,858.54 and 919.55

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Solution

The fourth proportional to 1,906.27, 2,858.54 and 919.55 is: 1,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.27 : 2,858.54 = 919.55 : x
  2. Step 2: Convert to fraction form
    1,906.27/2,858.54 = 919.55/x
  3. Step 3: Cross multiply
    1,906.27x = 2,858.54 × 919.55
  4. Step 4: Simplify right side
    1,906.27x = 2,628,573.01
  5. Step 5: Solve for x
    x = 2,628,573.01/1,906.27
  6. Step 6: Final answer
    x = 1,378.91

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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.