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Finding the Fourth Proportional to 3,020.22, 4,530.46 and 829.16

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Solution

The fourth proportional to 3,020.22, 4,530.46 and 829.16 is: 1,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.22 : 4,530.46 = 829.16 : x
  2. Step 2: Convert to fraction form
    3,020.22/4,530.46 = 829.16/x
  3. Step 3: Cross multiply
    3,020.22x = 4,530.46 × 829.16
  4. Step 4: Simplify right side
    3,020.22x = 3,756,476.21
  5. Step 5: Solve for x
    x = 3,756,476.21/3,020.22
  6. Step 6: Final answer
    x = 1,243.78

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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.