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Finding the Fourth Proportional to 2,696.16, 4,045.62 and 1,961.82

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Solution

The fourth proportional to 2,696.16, 4,045.62 and 1,961.82 is: 2,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.16 : 4,045.62 = 1,961.82 : x
  2. Step 2: Convert to fraction form
    2,696.16/4,045.62 = 1,961.82/x
  3. Step 3: Cross multiply
    2,696.16x = 4,045.62 × 1,961.82
  4. Step 4: Simplify right side
    2,696.16x = 7,936,778.23
  5. Step 5: Solve for x
    x = 7,936,778.23/2,696.16
  6. Step 6: Final answer
    x = 2,943.73

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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.