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Finding the Fourth Proportional to 7,212.70, 10,823.46 and 2,830.20

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Solution

The fourth proportional to 7,212.70, 10,823.46 and 2,830.20 is: 4,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.70 : 10,823.46 = 2,830.20 : x
  2. Step 2: Convert to fraction form
    7,212.70/10,823.46 = 2,830.20/x
  3. Step 3: Cross multiply
    7,212.70x = 10,823.46 × 2,830.20
  4. Step 4: Simplify right side
    7,212.70x = 30,632,556.49
  5. Step 5: Solve for x
    x = 30,632,556.49/7,212.70
  6. Step 6: Final answer
    x = 4,247.03

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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.