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Finding the Fourth Proportional to 1,908.83, 2,627.78 and 1,698.68

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Solution

The fourth proportional to 1,908.83, 2,627.78 and 1,698.68 is: 2,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.83 : 2,627.78 = 1,698.68 : x
  2. Step 2: Convert to fraction form
    1,908.83/2,627.78 = 1,698.68/x
  3. Step 3: Cross multiply
    1,908.83x = 2,627.78 × 1,698.68
  4. Step 4: Simplify right side
    1,908.83x = 4,463,735.70
  5. Step 5: Solve for x
    x = 4,463,735.70/1,908.83
  6. Step 6: Final answer
    x = 2,338.47

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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.