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Finding the Fourth Proportional to 3,684.78, 5,516.22 and 2,219.49

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Solution

The fourth proportional to 3,684.78, 5,516.22 and 2,219.49 is: 3,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.78 : 5,516.22 = 2,219.49 : x
  2. Step 2: Convert to fraction form
    3,684.78/5,516.22 = 2,219.49/x
  3. Step 3: Cross multiply
    3,684.78x = 5,516.22 × 2,219.49
  4. Step 4: Simplify right side
    3,684.78x = 12,243,195.13
  5. Step 5: Solve for x
    x = 12,243,195.13/3,684.78
  6. Step 6: Final answer
    x = 3,322.64

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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.