Home / 1,982.92-2,736.50-1,098.80

Finding the Fourth Proportional to 1,982.92, 2,736.50 and 1,098.80

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Solution

The fourth proportional to 1,982.92, 2,736.50 and 1,098.80 is: 1,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.92 : 2,736.50 = 1,098.80 : x
  2. Step 2: Convert to fraction form
    1,982.92/2,736.50 = 1,098.80/x
  3. Step 3: Cross multiply
    1,982.92x = 2,736.50 × 1,098.80
  4. Step 4: Simplify right side
    1,982.92x = 3,006,866.20
  5. Step 5: Solve for x
    x = 3,006,866.20/1,982.92
  6. Step 6: Final answer
    x = 1,516.38

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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.