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Finding the Fourth Proportional to 13,893.50, 20,840.25 and 3,505.25

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Solution

The fourth proportional to 13,893.50, 20,840.25 and 3,505.25 is: 5,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.50 : 20,840.25 = 3,505.25 : x
  2. Step 2: Convert to fraction form
    13,893.50/20,840.25 = 3,505.25/x
  3. Step 3: Cross multiply
    13,893.50x = 20,840.25 × 3,505.25
  4. Step 4: Simplify right side
    13,893.50x = 73,050,286.31
  5. Step 5: Solve for x
    x = 73,050,286.31/13,893.50
  6. Step 6: Final answer
    x = 5,257.88

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1.5x scale

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.