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Finding the Fourth Proportional to 3,012.33, 4,517.96 and 820.77

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Solution

The fourth proportional to 3,012.33, 4,517.96 and 820.77 is: 1,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.33 : 4,517.96 = 820.77 : x
  2. Step 2: Convert to fraction form
    3,012.33/4,517.96 = 820.77/x
  3. Step 3: Cross multiply
    3,012.33x = 4,517.96 × 820.77
  4. Step 4: Simplify right side
    3,012.33x = 3,708,206.03
  5. Step 5: Solve for x
    x = 3,708,206.03/3,012.33
  6. Step 6: Final answer
    x = 1,231.01

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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.