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Finding the Fourth Proportional to 1,278.53, 1,908.46 and 1,097.09

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Solution

The fourth proportional to 1,278.53, 1,908.46 and 1,097.09 is: 1,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.53 : 1,908.46 = 1,097.09 : x
  2. Step 2: Convert to fraction form
    1,278.53/1,908.46 = 1,097.09/x
  3. Step 3: Cross multiply
    1,278.53x = 1,908.46 × 1,097.09
  4. Step 4: Simplify right side
    1,278.53x = 2,093,751.37
  5. Step 5: Solve for x
    x = 2,093,751.37/1,278.53
  6. Step 6: Final answer
    x = 1,637.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.