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Finding the Fourth Proportional to 3,662.38, 5,038.14 and 3,212.22

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Solution

The fourth proportional to 3,662.38, 5,038.14 and 3,212.22 is: 4,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.38 : 5,038.14 = 3,212.22 : x
  2. Step 2: Convert to fraction form
    3,662.38/5,038.14 = 3,212.22/x
  3. Step 3: Cross multiply
    3,662.38x = 5,038.14 × 3,212.22
  4. Step 4: Simplify right side
    3,662.38x = 16,183,614.07
  5. Step 5: Solve for x
    x = 16,183,614.07/3,662.38
  6. Step 6: Final answer
    x = 4,418.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.