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Finding the Fourth Proportional to 7,213.70, 10,806.78 and 4,283.12

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Solution

The fourth proportional to 7,213.70, 10,806.78 and 4,283.12 is: 6,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.70 : 10,806.78 = 4,283.12 : x
  2. Step 2: Convert to fraction form
    7,213.70/10,806.78 = 4,283.12/x
  3. Step 3: Cross multiply
    7,213.70x = 10,806.78 × 4,283.12
  4. Step 4: Simplify right side
    7,213.70x = 46,286,735.55
  5. Step 5: Solve for x
    x = 46,286,735.55/7,213.70
  6. Step 6: Final answer
    x = 6,416.50

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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.