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Finding the Fourth Proportional to 1,367.64, 1,874.20 and 1,236.42

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Solution

The fourth proportional to 1,367.64, 1,874.20 and 1,236.42 is: 1,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.64 : 1,874.20 = 1,236.42 : x
  2. Step 2: Convert to fraction form
    1,367.64/1,874.20 = 1,236.42/x
  3. Step 3: Cross multiply
    1,367.64x = 1,874.20 × 1,236.42
  4. Step 4: Simplify right side
    1,367.64x = 2,317,298.36
  5. Step 5: Solve for x
    x = 2,317,298.36/1,367.64
  6. Step 6: Final answer
    x = 1,694.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.