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Finding the Fourth Proportional to 2,872.22, 4,308.21 and 820.22

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Solution

The fourth proportional to 2,872.22, 4,308.21 and 820.22 is: 1,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.22 : 4,308.21 = 820.22 : x
  2. Step 2: Convert to fraction form
    2,872.22/4,308.21 = 820.22/x
  3. Step 3: Cross multiply
    2,872.22x = 4,308.21 × 820.22
  4. Step 4: Simplify right side
    2,872.22x = 3,533,658.47
  5. Step 5: Solve for x
    x = 3,533,658.47/2,872.22
  6. Step 6: Final answer
    x = 1,230.29

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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.