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Finding the Fourth Proportional to 2,222, 3,066.36 and 1,290.56

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Solution

The fourth proportional to 2,222, 3,066.36 and 1,290.56 is: 1,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222 : 3,066.36 = 1,290.56 : x
  2. Step 2: Convert to fraction form
    2,222/3,066.36 = 1,290.56/x
  3. Step 3: Cross multiply
    2,222x = 3,066.36 × 1,290.56
  4. Step 4: Simplify right side
    2,222x = 3,957,321.56
  5. Step 5: Solve for x
    x = 3,957,321.56/2,222
  6. Step 6: Final answer
    x = 1,780.97

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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.