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Finding the Fourth Proportional to 3,218.80, 4,821 and 1,982.20

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Solution

The fourth proportional to 3,218.80, 4,821 and 1,982.20 is: 2,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.80 : 4,821 = 1,982.20 : x
  2. Step 2: Convert to fraction form
    3,218.80/4,821 = 1,982.20/x
  3. Step 3: Cross multiply
    3,218.80x = 4,821 × 1,982.20
  4. Step 4: Simplify right side
    3,218.80x = 9,556,186.20
  5. Step 5: Solve for x
    x = 9,556,186.20/3,218.80
  6. Step 6: Final answer
    x = 2,968.87

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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.