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Finding the Fourth Proportional to 8,690.36, 11,981.94 and 5,891

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Solution

The fourth proportional to 8,690.36, 11,981.94 and 5,891 is: 8,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.36 : 11,981.94 = 5,891 : x
  2. Step 2: Convert to fraction form
    8,690.36/11,981.94 = 5,891/x
  3. Step 3: Cross multiply
    8,690.36x = 11,981.94 × 5,891
  4. Step 4: Simplify right side
    8,690.36x = 70,585,608.54
  5. Step 5: Solve for x
    x = 70,585,608.54/8,690.36
  6. Step 6: Final answer
    x = 8,122.29

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1.5x scale

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.