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Finding the Fourth Proportional to 13,646, 20,469 and 4,412

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Solution

The fourth proportional to 13,646, 20,469 and 4,412 is: 6,618

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646 : 20,469 = 4,412 : x
  2. Step 2: Convert to fraction form
    13,646/20,469 = 4,412/x
  3. Step 3: Cross multiply
    13,646x = 20,469 × 4,412
  4. Step 4: Simplify right side
    13,646x = 90,309,228
  5. Step 5: Solve for x
    x = 90,309,228/13,646
  6. Step 6: Final answer
    x = 6,618

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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.