Home / 2,742.82-3,784.89-1,694.50

Finding the Fourth Proportional to 2,742.82, 3,784.89 and 1,694.50

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Solution

The fourth proportional to 2,742.82, 3,784.89 and 1,694.50 is: 2,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.82 : 3,784.89 = 1,694.50 : x
  2. Step 2: Convert to fraction form
    2,742.82/3,784.89 = 1,694.50/x
  3. Step 3: Cross multiply
    2,742.82x = 3,784.89 × 1,694.50
  4. Step 4: Simplify right side
    2,742.82x = 6,413,496.11
  5. Step 5: Solve for x
    x = 6,413,496.11/2,742.82
  6. Step 6: Final answer
    x = 2,338.29

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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.