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Finding the Fourth Proportional to 1,367.85, 1,889.20 and 996.49

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Solution

The fourth proportional to 1,367.85, 1,889.20 and 996.49 is: 1,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.85 : 1,889.20 = 996.49 : x
  2. Step 2: Convert to fraction form
    1,367.85/1,889.20 = 996.49/x
  3. Step 3: Cross multiply
    1,367.85x = 1,889.20 × 996.49
  4. Step 4: Simplify right side
    1,367.85x = 1,882,559.46
  5. Step 5: Solve for x
    x = 1,882,559.46/1,367.85
  6. Step 6: Final answer
    x = 1,376.30

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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.