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Finding the Fourth Proportional to 13,821.75, 20,729.54 and 6,705.75

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Solution

The fourth proportional to 13,821.75, 20,729.54 and 6,705.75 is: 10,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.75 : 20,729.54 = 6,705.75 : x
  2. Step 2: Convert to fraction form
    13,821.75/20,729.54 = 6,705.75/x
  3. Step 3: Cross multiply
    13,821.75x = 20,729.54 × 6,705.75
  4. Step 4: Simplify right side
    13,821.75x = 139,007,169.64
  5. Step 5: Solve for x
    x = 139,007,169.64/13,821.75
  6. Step 6: Final answer
    x = 10,057.13

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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.