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Finding the Fourth Proportional to 1,393.65, 1,918.83 and 1,183.38

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Solution

The fourth proportional to 1,393.65, 1,918.83 and 1,183.38 is: 1,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.65 : 1,918.83 = 1,183.38 : x
  2. Step 2: Convert to fraction form
    1,393.65/1,918.83 = 1,183.38/x
  3. Step 3: Cross multiply
    1,393.65x = 1,918.83 × 1,183.38
  4. Step 4: Simplify right side
    1,393.65x = 2,270,705.05
  5. Step 5: Solve for x
    x = 2,270,705.05/1,393.65
  6. Step 6: Final answer
    x = 1,629.32

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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.