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Finding the Fourth Proportional to 3,220.70, 4,829.70 and 1,028.84

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Solution

The fourth proportional to 3,220.70, 4,829.70 and 1,028.84 is: 1,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.70 : 4,829.70 = 1,028.84 : x
  2. Step 2: Convert to fraction form
    3,220.70/4,829.70 = 1,028.84/x
  3. Step 3: Cross multiply
    3,220.70x = 4,829.70 × 1,028.84
  4. Step 4: Simplify right side
    3,220.70x = 4,968,988.55
  5. Step 5: Solve for x
    x = 4,968,988.55/3,220.70
  6. Step 6: Final answer
    x = 1,542.83

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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.