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Finding the Fourth Proportional to 2,855.48, 3,943.65 and 1,961.57

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Solution

The fourth proportional to 2,855.48, 3,943.65 and 1,961.57 is: 2,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.48 : 3,943.65 = 1,961.57 : x
  2. Step 2: Convert to fraction form
    2,855.48/3,943.65 = 1,961.57/x
  3. Step 3: Cross multiply
    2,855.48x = 3,943.65 × 1,961.57
  4. Step 4: Simplify right side
    2,855.48x = 7,735,729.53
  5. Step 5: Solve for x
    x = 7,735,729.53/2,855.48
  6. Step 6: Final answer
    x = 2,709.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.