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Finding the Fourth Proportional to 2,763.73, 4,145.58 and 711.73

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Solution

The fourth proportional to 2,763.73, 4,145.58 and 711.73 is: 1,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.73 : 4,145.58 = 711.73 : x
  2. Step 2: Convert to fraction form
    2,763.73/4,145.58 = 711.73/x
  3. Step 3: Cross multiply
    2,763.73x = 4,145.58 × 711.73
  4. Step 4: Simplify right side
    2,763.73x = 2,950,533.65
  5. Step 5: Solve for x
    x = 2,950,533.65/2,763.73
  6. Step 6: Final answer
    x = 1,067.59

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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.