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Finding the Fourth Proportional to 1,368.82, 1,889.09 and 1,119.44

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Solution

The fourth proportional to 1,368.82, 1,889.09 and 1,119.44 is: 1,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.82 : 1,889.09 = 1,119.44 : x
  2. Step 2: Convert to fraction form
    1,368.82/1,889.09 = 1,119.44/x
  3. Step 3: Cross multiply
    1,368.82x = 1,889.09 × 1,119.44
  4. Step 4: Simplify right side
    1,368.82x = 2,114,726.23
  5. Step 5: Solve for x
    x = 2,114,726.23/1,368.82
  6. Step 6: Final answer
    x = 1,544.93

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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.