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Finding the Fourth Proportional to 2,687.40, 3,709.94 and 1,694.21

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Solution

The fourth proportional to 2,687.40, 3,709.94 and 1,694.21 is: 2,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.40 : 3,709.94 = 1,694.21 : x
  2. Step 2: Convert to fraction form
    2,687.40/3,709.94 = 1,694.21/x
  3. Step 3: Cross multiply
    2,687.40x = 3,709.94 × 1,694.21
  4. Step 4: Simplify right side
    2,687.40x = 6,285,390.43
  5. Step 5: Solve for x
    x = 6,285,390.43/2,687.40
  6. Step 6: Final answer
    x = 2,338.84

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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.