Home / 1,982.04-2,734.20-1,283.28

Finding the Fourth Proportional to 1,982.04, 2,734.20 and 1,283.28

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Solution

The fourth proportional to 1,982.04, 2,734.20 and 1,283.28 is: 1,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.04 : 2,734.20 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    1,982.04/2,734.20 = 1,283.28/x
  3. Step 3: Cross multiply
    1,982.04x = 2,734.20 × 1,283.28
  4. Step 4: Simplify right side
    1,982.04x = 3,508,744.18
  5. Step 5: Solve for x
    x = 3,508,744.18/1,982.04
  6. Step 6: Final answer
    x = 1,770.27

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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.