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Finding the Fourth Proportional to 1,954.87, 2,911.61 and 1,945.44

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Solution

The fourth proportional to 1,954.87, 2,911.61 and 1,945.44 is: 2,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.87 : 2,911.61 = 1,945.44 : x
  2. Step 2: Convert to fraction form
    1,954.87/2,911.61 = 1,945.44/x
  3. Step 3: Cross multiply
    1,954.87x = 2,911.61 × 1,945.44
  4. Step 4: Simplify right side
    1,954.87x = 5,664,367.42
  5. Step 5: Solve for x
    x = 5,664,367.42/1,954.87
  6. Step 6: Final answer
    x = 2,897.57

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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.