Home / 7,825.43-11,738.16-1,982.04

Finding the Fourth Proportional to 7,825.43, 11,738.16 and 1,982.04

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Solution

The fourth proportional to 7,825.43, 11,738.16 and 1,982.04 is: 2,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.43 : 11,738.16 = 1,982.04 : x
  2. Step 2: Convert to fraction form
    7,825.43/11,738.16 = 1,982.04/x
  3. Step 3: Cross multiply
    7,825.43x = 11,738.16 × 1,982.04
  4. Step 4: Simplify right side
    7,825.43x = 23,265,502.65
  5. Step 5: Solve for x
    x = 23,265,502.65/7,825.43
  6. Step 6: Final answer
    x = 2,973.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.