Home / 7,824.82-11,729.22-3,441.46

Finding the Fourth Proportional to 7,824.82, 11,729.22 and 3,441.46

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Solution

The fourth proportional to 7,824.82, 11,729.22 and 3,441.46 is: 5,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.82 : 11,729.22 = 3,441.46 : x
  2. Step 2: Convert to fraction form
    7,824.82/11,729.22 = 3,441.46/x
  3. Step 3: Cross multiply
    7,824.82x = 11,729.22 × 3,441.46
  4. Step 4: Simplify right side
    7,824.82x = 40,365,641.46
  5. Step 5: Solve for x
    x = 40,365,641.46/7,824.82
  6. Step 6: Final answer
    x = 5,158.67

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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.