Home / 1,982.65-2,971.39-1,105.11

Finding the Fourth Proportional to 1,982.65, 2,971.39 and 1,105.11

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Solution

The fourth proportional to 1,982.65, 2,971.39 and 1,105.11 is: 1,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.65 : 2,971.39 = 1,105.11 : x
  2. Step 2: Convert to fraction form
    1,982.65/2,971.39 = 1,105.11/x
  3. Step 3: Cross multiply
    1,982.65x = 2,971.39 × 1,105.11
  4. Step 4: Simplify right side
    1,982.65x = 3,283,721.18
  5. Step 5: Solve for x
    x = 3,283,721.18/1,982.65
  6. Step 6: Final answer
    x = 1,656.23

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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.