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Finding the Fourth Proportional to 2,855.82, 3,940.98 and 1,596.98

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Solution

The fourth proportional to 2,855.82, 3,940.98 and 1,596.98 is: 2,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.82 : 3,940.98 = 1,596.98 : x
  2. Step 2: Convert to fraction form
    2,855.82/3,940.98 = 1,596.98/x
  3. Step 3: Cross multiply
    2,855.82x = 3,940.98 × 1,596.98
  4. Step 4: Simplify right side
    2,855.82x = 6,293,666.24
  5. Step 5: Solve for x
    x = 6,293,666.24/2,855.82
  6. Step 6: Final answer
    x = 2,203.80

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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.