Home / 3,021.20-4,531.10-830.10

Finding the Fourth Proportional to 3,021.20, 4,531.10 and 830.10

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Solution

The fourth proportional to 3,021.20, 4,531.10 and 830.10 is: 1,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.20 : 4,531.10 = 830.10 : x
  2. Step 2: Convert to fraction form
    3,021.20/4,531.10 = 830.10/x
  3. Step 3: Cross multiply
    3,021.20x = 4,531.10 × 830.10
  4. Step 4: Simplify right side
    3,021.20x = 3,761,261.96
  5. Step 5: Solve for x
    x = 3,761,261.96/3,021.20
  6. Step 6: Final answer
    x = 1,244.96

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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.