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Finding the Fourth Proportional to 2,611.19, 3,917.21 and 855.69

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Solution

The fourth proportional to 2,611.19, 3,917.21 and 855.69 is: 1,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.19 : 3,917.21 = 855.69 : x
  2. Step 2: Convert to fraction form
    2,611.19/3,917.21 = 855.69/x
  3. Step 3: Cross multiply
    2,611.19x = 3,917.21 × 855.69
  4. Step 4: Simplify right side
    2,611.19x = 3,351,917.42
  5. Step 5: Solve for x
    x = 3,351,917.42/2,611.19
  6. Step 6: Final answer
    x = 1,283.67

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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.