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Finding the Fourth Proportional to 2,170.12, 3,255.39 and 871.42

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Solution

The fourth proportional to 2,170.12, 3,255.39 and 871.42 is: 1,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.12 : 3,255.39 = 871.42 : x
  2. Step 2: Convert to fraction form
    2,170.12/3,255.39 = 871.42/x
  3. Step 3: Cross multiply
    2,170.12x = 3,255.39 × 871.42
  4. Step 4: Simplify right side
    2,170.12x = 2,836,811.95
  5. Step 5: Solve for x
    x = 2,836,811.95/2,170.12
  6. Step 6: Final answer
    x = 1,307.21

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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.