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Finding the Fourth Proportional to 1,286.26, 1,926.87 and 996.82

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Solution

The fourth proportional to 1,286.26, 1,926.87 and 996.82 is: 1,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.26 : 1,926.87 = 996.82 : x
  2. Step 2: Convert to fraction form
    1,286.26/1,926.87 = 996.82/x
  3. Step 3: Cross multiply
    1,286.26x = 1,926.87 × 996.82
  4. Step 4: Simplify right side
    1,286.26x = 1,920,742.55
  5. Step 5: Solve for x
    x = 1,920,742.55/1,286.26
  6. Step 6: Final answer
    x = 1,493.28

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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.