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Finding the Fourth Proportional to 2,777.72, 4,166.42 and 697.73

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Solution

The fourth proportional to 2,777.72, 4,166.42 and 697.73 is: 1,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.72 : 4,166.42 = 697.73 : x
  2. Step 2: Convert to fraction form
    2,777.72/4,166.42 = 697.73/x
  3. Step 3: Cross multiply
    2,777.72x = 4,166.42 × 697.73
  4. Step 4: Simplify right side
    2,777.72x = 2,907,011.91
  5. Step 5: Solve for x
    x = 2,907,011.91/2,777.72
  6. Step 6: Final answer
    x = 1,046.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.