Home / 7,826.13-11,738.79-1,982.79

Finding the Fourth Proportional to 7,826.13, 11,738.79 and 1,982.79

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Solution

The fourth proportional to 7,826.13, 11,738.79 and 1,982.79 is: 2,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.13 : 11,738.79 = 1,982.79 : x
  2. Step 2: Convert to fraction form
    7,826.13/11,738.79 = 1,982.79/x
  3. Step 3: Cross multiply
    7,826.13x = 11,738.79 × 1,982.79
  4. Step 4: Simplify right side
    7,826.13x = 23,275,555.42
  5. Step 5: Solve for x
    x = 23,275,555.42/7,826.13
  6. Step 6: Final answer
    x = 2,974.08

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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.