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Finding the Fourth Proportional to 2,027.80, 2,797.89 and 1,230.94

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Solution

The fourth proportional to 2,027.80, 2,797.89 and 1,230.94 is: 1,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.80 : 2,797.89 = 1,230.94 : x
  2. Step 2: Convert to fraction form
    2,027.80/2,797.89 = 1,230.94/x
  3. Step 3: Cross multiply
    2,027.80x = 2,797.89 × 1,230.94
  4. Step 4: Simplify right side
    2,027.80x = 3,444,034.72
  5. Step 5: Solve for x
    x = 3,444,034.72/2,027.80
  6. Step 6: Final answer
    x = 1,698.41

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1.5x scale

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.