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Finding the Fourth Proportional to 7,784.34, 11,672.38 and 3,396.67

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Solution

The fourth proportional to 7,784.34, 11,672.38 and 3,396.67 is: 5,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.34 : 11,672.38 = 3,396.67 : x
  2. Step 2: Convert to fraction form
    7,784.34/11,672.38 = 3,396.67/x
  3. Step 3: Cross multiply
    7,784.34x = 11,672.38 × 3,396.67
  4. Step 4: Simplify right side
    7,784.34x = 39,647,222.97
  5. Step 5: Solve for x
    x = 39,647,222.97/7,784.34
  6. Step 6: Final answer
    x = 5,093.20

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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.