Home / 1,982.49-2,735.90-1,098.38

Finding the Fourth Proportional to 1,982.49, 2,735.90 and 1,098.38

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Solution

The fourth proportional to 1,982.49, 2,735.90 and 1,098.38 is: 1,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.49 : 2,735.90 = 1,098.38 : x
  2. Step 2: Convert to fraction form
    1,982.49/2,735.90 = 1,098.38/x
  3. Step 3: Cross multiply
    1,982.49x = 2,735.90 × 1,098.38
  4. Step 4: Simplify right side
    1,982.49x = 3,005,045.51
  5. Step 5: Solve for x
    x = 3,005,045.51/1,982.49
  6. Step 6: Final answer
    x = 1,515.79

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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.