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Finding the Fourth Proportional to 13,627, 20,440.50 and 4,393

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Solution

The fourth proportional to 13,627, 20,440.50 and 4,393 is: 6,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627 : 20,440.50 = 4,393 : x
  2. Step 2: Convert to fraction form
    13,627/20,440.50 = 4,393/x
  3. Step 3: Cross multiply
    13,627x = 20,440.50 × 4,393
  4. Step 4: Simplify right side
    13,627x = 89,795,116.50
  5. Step 5: Solve for x
    x = 89,795,116.50/13,627
  6. Step 6: Final answer
    x = 6,589.50

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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.