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Finding the Fourth Proportional to 13,817, 20,724.94 and 3,955.88

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Solution

The fourth proportional to 13,817, 20,724.94 and 3,955.88 is: 5,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817 : 20,724.94 = 3,955.88 : x
  2. Step 2: Convert to fraction form
    13,817/20,724.94 = 3,955.88/x
  3. Step 3: Cross multiply
    13,817x = 20,724.94 × 3,955.88
  4. Step 4: Simplify right side
    13,817x = 81,985,375.65
  5. Step 5: Solve for x
    x = 81,985,375.65/13,817
  6. Step 6: Final answer
    x = 5,933.66

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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.