Home / 1,982.82-2,969.88-1,635.36

Finding the Fourth Proportional to 1,982.82, 2,969.88 and 1,635.36

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Solution

The fourth proportional to 1,982.82, 2,969.88 and 1,635.36 is: 2,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.82 : 2,969.88 = 1,635.36 : x
  2. Step 2: Convert to fraction form
    1,982.82/2,969.88 = 1,635.36/x
  3. Step 3: Cross multiply
    1,982.82x = 2,969.88 × 1,635.36
  4. Step 4: Simplify right side
    1,982.82x = 4,856,822.96
  5. Step 5: Solve for x
    x = 4,856,822.96/1,982.82
  6. Step 6: Final answer
    x = 2,449.45

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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.