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Finding the Fourth Proportional to 2,027.68, 2,797.68 and 1,281.58

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Solution

The fourth proportional to 2,027.68, 2,797.68 and 1,281.58 is: 1,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.68 : 2,797.68 = 1,281.58 : x
  2. Step 2: Convert to fraction form
    2,027.68/2,797.68 = 1,281.58/x
  3. Step 3: Cross multiply
    2,027.68x = 2,797.68 × 1,281.58
  4. Step 4: Simplify right side
    2,027.68x = 3,585,450.73
  5. Step 5: Solve for x
    x = 3,585,450.73/2,027.68
  6. Step 6: Final answer
    x = 1,768.25

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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.