Home / 1,982.40-2,735.68-1,283.76

Finding the Fourth Proportional to 1,982.40, 2,735.68 and 1,283.76

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Solution

The fourth proportional to 1,982.40, 2,735.68 and 1,283.76 is: 1,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.40 : 2,735.68 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    1,982.40/2,735.68 = 1,283.76/x
  3. Step 3: Cross multiply
    1,982.40x = 2,735.68 × 1,283.76
  4. Step 4: Simplify right side
    1,982.40x = 3,511,956.56
  5. Step 5: Solve for x
    x = 3,511,956.56/1,982.40
  6. Step 6: Final answer
    x = 1,771.57

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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.