Home / 7,825.50-11,738.24-1,982.57

Finding the Fourth Proportional to 7,825.50, 11,738.24 and 1,982.57

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Solution

The fourth proportional to 7,825.50, 11,738.24 and 1,982.57 is: 2,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.50 : 11,738.24 = 1,982.57 : x
  2. Step 2: Convert to fraction form
    7,825.50/11,738.24 = 1,982.57/x
  3. Step 3: Cross multiply
    7,825.50x = 11,738.24 × 1,982.57
  4. Step 4: Simplify right side
    7,825.50x = 23,271,821.31
  5. Step 5: Solve for x
    x = 23,271,821.31/7,825.50
  6. Step 6: Final answer
    x = 2,973.84

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1.5x scale

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.