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Finding the Fourth Proportional to 2,964.72, 4,089.96 and 1,722

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Solution

The fourth proportional to 2,964.72, 4,089.96 and 1,722 is: 2,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.72 : 4,089.96 = 1,722 : x
  2. Step 2: Convert to fraction form
    2,964.72/4,089.96 = 1,722/x
  3. Step 3: Cross multiply
    2,964.72x = 4,089.96 × 1,722
  4. Step 4: Simplify right side
    2,964.72x = 7,042,911.12
  5. Step 5: Solve for x
    x = 7,042,911.12/2,964.72
  6. Step 6: Final answer
    x = 2,375.57

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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.