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Finding the Fourth Proportional to 2,847.45, 3,927.97 and 1,961.71

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Solution

The fourth proportional to 2,847.45, 3,927.97 and 1,961.71 is: 2,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.45 : 3,927.97 = 1,961.71 : x
  2. Step 2: Convert to fraction form
    2,847.45/3,927.97 = 1,961.71/x
  3. Step 3: Cross multiply
    2,847.45x = 3,927.97 × 1,961.71
  4. Step 4: Simplify right side
    2,847.45x = 7,705,538.03
  5. Step 5: Solve for x
    x = 7,705,538.03/2,847.45
  6. Step 6: Final answer
    x = 2,706.12

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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.