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Finding the Fourth Proportional to 2,211, 3,051.39 and 1,216.44

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Solution

The fourth proportional to 2,211, 3,051.39 and 1,216.44 is: 1,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211 : 3,051.39 = 1,216.44 : x
  2. Step 2: Convert to fraction form
    2,211/3,051.39 = 1,216.44/x
  3. Step 3: Cross multiply
    2,211x = 3,051.39 × 1,216.44
  4. Step 4: Simplify right side
    2,211x = 3,711,832.85
  5. Step 5: Solve for x
    x = 3,711,832.85/2,211
  6. Step 6: Final answer
    x = 1,678.80

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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.