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Finding the Fourth Proportional to 2,906, 4,027.18 and 2,850.60

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Solution

The fourth proportional to 2,906, 4,027.18 and 2,850.60 is: 3,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 4,027.18 = 2,850.60 : x
  2. Step 2: Convert to fraction form
    2,906/4,027.18 = 2,850.60/x
  3. Step 3: Cross multiply
    2,906x = 4,027.18 × 2,850.60
  4. Step 4: Simplify right side
    2,906x = 11,479,879.31
  5. Step 5: Solve for x
    x = 11,479,879.31/2,906
  6. Step 6: Final answer
    x = 3,950.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.