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Finding the Fourth Proportional to 3,786.62, 5,651.24 and 3,688.20

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Solution

The fourth proportional to 3,786.62, 5,651.24 and 3,688.20 is: 5,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.62 : 5,651.24 = 3,688.20 : x
  2. Step 2: Convert to fraction form
    3,786.62/5,651.24 = 3,688.20/x
  3. Step 3: Cross multiply
    3,786.62x = 5,651.24 × 3,688.20
  4. Step 4: Simplify right side
    3,786.62x = 20,842,884.93
  5. Step 5: Solve for x
    x = 20,842,884.93/3,786.62
  6. Step 6: Final answer
    x = 5,504.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.