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Finding the Fourth Proportional to 3,003.72, 4,505.64 and 812.46

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Solution

The fourth proportional to 3,003.72, 4,505.64 and 812.46 is: 1,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.72 : 4,505.64 = 812.46 : x
  2. Step 2: Convert to fraction form
    3,003.72/4,505.64 = 812.46/x
  3. Step 3: Cross multiply
    3,003.72x = 4,505.64 × 812.46
  4. Step 4: Simplify right side
    3,003.72x = 3,660,652.27
  5. Step 5: Solve for x
    x = 3,660,652.27/3,003.72
  6. Step 6: Final answer
    x = 1,218.71

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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.