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Finding the Fourth Proportional to 2,661.75, 3,998.50 and 1,738.76

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Solution

The fourth proportional to 2,661.75, 3,998.50 and 1,738.76 is: 2,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.75 : 3,998.50 = 1,738.76 : x
  2. Step 2: Convert to fraction form
    2,661.75/3,998.50 = 1,738.76/x
  3. Step 3: Cross multiply
    2,661.75x = 3,998.50 × 1,738.76
  4. Step 4: Simplify right side
    2,661.75x = 6,952,407.52
  5. Step 5: Solve for x
    x = 6,952,407.52/2,661.75
  6. Step 6: Final answer
    x = 2,611.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.