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Finding the Fourth Proportional to 1,393.76, 2,093.84 and 1,199.36

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Solution

The fourth proportional to 1,393.76, 2,093.84 and 1,199.36 is: 1,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.76 : 2,093.84 = 1,199.36 : x
  2. Step 2: Convert to fraction form
    1,393.76/2,093.84 = 1,199.36/x
  3. Step 3: Cross multiply
    1,393.76x = 2,093.84 × 1,199.36
  4. Step 4: Simplify right side
    1,393.76x = 2,511,267.94
  5. Step 5: Solve for x
    x = 2,511,267.94/1,393.76
  6. Step 6: Final answer
    x = 1,801.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.