Home / 7,825.65-11,738.87-1,982.31

Finding the Fourth Proportional to 7,825.65, 11,738.87 and 1,982.31

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Solution

The fourth proportional to 7,825.65, 11,738.87 and 1,982.31 is: 2,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.65 : 11,738.87 = 1,982.31 : x
  2. Step 2: Convert to fraction form
    7,825.65/11,738.87 = 1,982.31/x
  3. Step 3: Cross multiply
    7,825.65x = 11,738.87 × 1,982.31
  4. Step 4: Simplify right side
    7,825.65x = 23,270,079.39
  5. Step 5: Solve for x
    x = 23,270,079.39/7,825.65
  6. Step 6: Final answer
    x = 2,973.57

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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.