Home / 1,982.39-2,735.50-1,098.17

Finding the Fourth Proportional to 1,982.39, 2,735.50 and 1,098.17

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Solution

The fourth proportional to 1,982.39, 2,735.50 and 1,098.17 is: 1,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.39 : 2,735.50 = 1,098.17 : x
  2. Step 2: Convert to fraction form
    1,982.39/2,735.50 = 1,098.17/x
  3. Step 3: Cross multiply
    1,982.39x = 2,735.50 × 1,098.17
  4. Step 4: Simplify right side
    1,982.39x = 3,004,044.04
  5. Step 5: Solve for x
    x = 3,004,044.04/1,982.39
  6. Step 6: Final answer
    x = 1,515.36

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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.