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Finding the Fourth Proportional to 3,943, 5,916.66 and 1,891

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Solution

The fourth proportional to 3,943, 5,916.66 and 1,891 is: 2,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943 : 5,916.66 = 1,891 : x
  2. Step 2: Convert to fraction form
    3,943/5,916.66 = 1,891/x
  3. Step 3: Cross multiply
    3,943x = 5,916.66 × 1,891
  4. Step 4: Simplify right side
    3,943x = 11,188,404.06
  5. Step 5: Solve for x
    x = 11,188,404.06/3,943
  6. Step 6: Final answer
    x = 2,837.54

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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.