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Finding the Fourth Proportional to 1,361.87, 1,880.91 and 919

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Solution

The fourth proportional to 1,361.87, 1,880.91 and 919 is: 1,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.87 : 1,880.91 = 919 : x
  2. Step 2: Convert to fraction form
    1,361.87/1,880.91 = 919/x
  3. Step 3: Cross multiply
    1,361.87x = 1,880.91 × 919
  4. Step 4: Simplify right side
    1,361.87x = 1,728,556.29
  5. Step 5: Solve for x
    x = 1,728,556.29/1,361.87
  6. Step 6: Final answer
    x = 1,269.25

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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.