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Finding the Fourth Proportional to 1,383.36, 1,908 and 940.50

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Solution

The fourth proportional to 1,383.36, 1,908 and 940.50 is: 1,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.36 : 1,908 = 940.50 : x
  2. Step 2: Convert to fraction form
    1,383.36/1,908 = 940.50/x
  3. Step 3: Cross multiply
    1,383.36x = 1,908 × 940.50
  4. Step 4: Simplify right side
    1,383.36x = 1,794,474
  5. Step 5: Solve for x
    x = 1,794,474/1,383.36
  6. Step 6: Final answer
    x = 1,297.19

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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.