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Finding the Fourth Proportional to 13,628, 20,442 and 3,900

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Solution

The fourth proportional to 13,628, 20,442 and 3,900 is: 5,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628 : 20,442 = 3,900 : x
  2. Step 2: Convert to fraction form
    13,628/20,442 = 3,900/x
  3. Step 3: Cross multiply
    13,628x = 20,442 × 3,900
  4. Step 4: Simplify right side
    13,628x = 79,723,800
  5. Step 5: Solve for x
    x = 79,723,800/13,628
  6. Step 6: Final answer
    x = 5,850

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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.