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Finding the Fourth Proportional to 2,789.74, 4,185 and 941.39

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Solution

The fourth proportional to 2,789.74, 4,185 and 941.39 is: 1,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.74 : 4,185 = 941.39 : x
  2. Step 2: Convert to fraction form
    2,789.74/4,185 = 941.39/x
  3. Step 3: Cross multiply
    2,789.74x = 4,185 × 941.39
  4. Step 4: Simplify right side
    2,789.74x = 3,939,717.15
  5. Step 5: Solve for x
    x = 3,939,717.15/2,789.74
  6. Step 6: Final answer
    x = 1,412.22

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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.