Home / 7,824.15-11,738.66-6,997.14

Finding the Fourth Proportional to 7,824.15, 11,738.66 and 6,997.14

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Solution

The fourth proportional to 7,824.15, 11,738.66 and 6,997.14 is: 10,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.15 : 11,738.66 = 6,997.14 : x
  2. Step 2: Convert to fraction form
    7,824.15/11,738.66 = 6,997.14/x
  3. Step 3: Cross multiply
    7,824.15x = 11,738.66 × 6,997.14
  4. Step 4: Simplify right side
    7,824.15x = 82,137,012.45
  5. Step 5: Solve for x
    x = 82,137,012.45/7,824.15
  6. Step 6: Final answer
    x = 10,497.88

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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.