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Finding the Fourth Proportional to 1,384.08, 1,908.17 and 941.21

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Solution

The fourth proportional to 1,384.08, 1,908.17 and 941.21 is: 1,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.08 : 1,908.17 = 941.21 : x
  2. Step 2: Convert to fraction form
    1,384.08/1,908.17 = 941.21/x
  3. Step 3: Cross multiply
    1,384.08x = 1,908.17 × 941.21
  4. Step 4: Simplify right side
    1,384.08x = 1,795,974.44
  5. Step 5: Solve for x
    x = 1,795,974.44/1,384.08
  6. Step 6: Final answer
    x = 1,297.59

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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.