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Finding the Fourth Proportional to 3,222, 4,446.63 and 2,042.64

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Solution

The fourth proportional to 3,222, 4,446.63 and 2,042.64 is: 2,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 4,446.63 = 2,042.64 : x
  2. Step 2: Convert to fraction form
    3,222/4,446.63 = 2,042.64/x
  3. Step 3: Cross multiply
    3,222x = 4,446.63 × 2,042.64
  4. Step 4: Simplify right side
    3,222x = 9,082,864.30
  5. Step 5: Solve for x
    x = 9,082,864.30/3,222
  6. Step 6: Final answer
    x = 2,819.01

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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.