Home / 7,825.59-11,738.81-1,982.25

Finding the Fourth Proportional to 7,825.59, 11,738.81 and 1,982.25

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Solution

The fourth proportional to 7,825.59, 11,738.81 and 1,982.25 is: 2,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.59 : 11,738.81 = 1,982.25 : x
  2. Step 2: Convert to fraction form
    7,825.59/11,738.81 = 1,982.25/x
  3. Step 3: Cross multiply
    7,825.59x = 11,738.81 × 1,982.25
  4. Step 4: Simplify right side
    7,825.59x = 23,269,261.08
  5. Step 5: Solve for x
    x = 23,269,261.08/7,825.59
  6. Step 6: Final answer
    x = 2,973.48

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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.