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Finding the Fourth Proportional to 13,713.36, 20,571 and 6,786

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Solution

The fourth proportional to 13,713.36, 20,571 and 6,786 is: 10,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.36 : 20,571 = 6,786 : x
  2. Step 2: Convert to fraction form
    13,713.36/20,571 = 6,786/x
  3. Step 3: Cross multiply
    13,713.36x = 20,571 × 6,786
  4. Step 4: Simplify right side
    13,713.36x = 139,594,806
  5. Step 5: Solve for x
    x = 139,594,806/13,713.36
  6. Step 6: Final answer
    x = 10,179.48

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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.