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Finding the Fourth Proportional to 13,629, 20,446.74 and 4,395

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Solution

The fourth proportional to 13,629, 20,446.74 and 4,395 is: 6,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629 : 20,446.74 = 4,395 : x
  2. Step 2: Convert to fraction form
    13,629/20,446.74 = 4,395/x
  3. Step 3: Cross multiply
    13,629x = 20,446.74 × 4,395
  4. Step 4: Simplify right side
    13,629x = 89,863,422.30
  5. Step 5: Solve for x
    x = 89,863,422.30/13,629
  6. Step 6: Final answer
    x = 6,593.54

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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.