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Finding the Fourth Proportional to 12,662.72, 18,993.36 and 3,428

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Solution

The fourth proportional to 12,662.72, 18,993.36 and 3,428 is: 5,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.72 : 18,993.36 = 3,428 : x
  2. Step 2: Convert to fraction form
    12,662.72/18,993.36 = 3,428/x
  3. Step 3: Cross multiply
    12,662.72x = 18,993.36 × 3,428
  4. Step 4: Simplify right side
    12,662.72x = 65,109,238.08
  5. Step 5: Solve for x
    x = 65,109,238.08/12,662.72
  6. Step 6: Final answer
    x = 5,141.81

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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.