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Finding the Fourth Proportional to 2,221.71, 3,065.97 and 1,227

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Solution

The fourth proportional to 2,221.71, 3,065.97 and 1,227 is: 1,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.71 : 3,065.97 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,221.71/3,065.97 = 1,227/x
  3. Step 3: Cross multiply
    2,221.71x = 3,065.97 × 1,227
  4. Step 4: Simplify right side
    2,221.71x = 3,761,945.19
  5. Step 5: Solve for x
    x = 3,761,945.19/2,221.71
  6. Step 6: Final answer
    x = 1,693.27

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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.