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Finding the Fourth Proportional to 3,003.47, 4,504.49 and 812.22

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Solution

The fourth proportional to 3,003.47, 4,504.49 and 812.22 is: 1,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.47 : 4,504.49 = 812.22 : x
  2. Step 2: Convert to fraction form
    3,003.47/4,504.49 = 812.22/x
  3. Step 3: Cross multiply
    3,003.47x = 4,504.49 × 812.22
  4. Step 4: Simplify right side
    3,003.47x = 3,658,636.87
  5. Step 5: Solve for x
    x = 3,658,636.87/3,003.47
  6. Step 6: Final answer
    x = 1,218.14

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1.5x scale

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.