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Finding the Fourth Proportional to 1,997.51, 2,974.49 and 1,975.67

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Solution

The fourth proportional to 1,997.51, 2,974.49 and 1,975.67 is: 2,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.51 : 2,974.49 = 1,975.67 : x
  2. Step 2: Convert to fraction form
    1,997.51/2,974.49 = 1,975.67/x
  3. Step 3: Cross multiply
    1,997.51x = 2,974.49 × 1,975.67
  4. Step 4: Simplify right side
    1,997.51x = 5,876,600.73
  5. Step 5: Solve for x
    x = 5,876,600.73/1,997.51
  6. Step 6: Final answer
    x = 2,941.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.