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Finding the Fourth Proportional to 3,107.82, 4,660.36 and 1,646.63

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Solution

The fourth proportional to 3,107.82, 4,660.36 and 1,646.63 is: 2,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.82 : 4,660.36 = 1,646.63 : x
  2. Step 2: Convert to fraction form
    3,107.82/4,660.36 = 1,646.63/x
  3. Step 3: Cross multiply
    3,107.82x = 4,660.36 × 1,646.63
  4. Step 4: Simplify right side
    3,107.82x = 7,673,896.12
  5. Step 5: Solve for x
    x = 7,673,896.12/3,107.82
  6. Step 6: Final answer
    x = 2,469.22

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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.