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Finding the Fourth Proportional to 2,016.75, 2,784.84 and 1,271.97

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Solution

The fourth proportional to 2,016.75, 2,784.84 and 1,271.97 is: 1,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.75 : 2,784.84 = 1,271.97 : x
  2. Step 2: Convert to fraction form
    2,016.75/2,784.84 = 1,271.97/x
  3. Step 3: Cross multiply
    2,016.75x = 2,784.84 × 1,271.97
  4. Step 4: Simplify right side
    2,016.75x = 3,542,232.93
  5. Step 5: Solve for x
    x = 3,542,232.93/2,016.75
  6. Step 6: Final answer
    x = 1,756.41

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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.