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Finding the Fourth Proportional to 1,969.87, 2,954.81 and 1,351.70

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Solution

The fourth proportional to 1,969.87, 2,954.81 and 1,351.70 is: 2,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.87 : 2,954.81 = 1,351.70 : x
  2. Step 2: Convert to fraction form
    1,969.87/2,954.81 = 1,351.70/x
  3. Step 3: Cross multiply
    1,969.87x = 2,954.81 × 1,351.70
  4. Step 4: Simplify right side
    1,969.87x = 3,994,017.31
  5. Step 5: Solve for x
    x = 3,994,017.31/1,969.87
  6. Step 6: Final answer
    x = 2,027.55

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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.