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Finding the Fourth Proportional to 3,003.46, 4,504.64 and 812.36

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Solution

The fourth proportional to 3,003.46, 4,504.64 and 812.36 is: 1,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.46 : 4,504.64 = 812.36 : x
  2. Step 2: Convert to fraction form
    3,003.46/4,504.64 = 812.36/x
  3. Step 3: Cross multiply
    3,003.46x = 4,504.64 × 812.36
  4. Step 4: Simplify right side
    3,003.46x = 3,659,396.55
  5. Step 5: Solve for x
    x = 3,659,396.55/3,003.46
  6. Step 6: Final answer
    x = 1,218.39

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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.