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Finding the Fourth Proportional to 13,914.64, 20,860.44 and 6,996.88

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Solution

The fourth proportional to 13,914.64, 20,860.44 and 6,996.88 is: 10,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.64 : 20,860.44 = 6,996.88 : x
  2. Step 2: Convert to fraction form
    13,914.64/20,860.44 = 6,996.88/x
  3. Step 3: Cross multiply
    13,914.64x = 20,860.44 × 6,996.88
  4. Step 4: Simplify right side
    13,914.64x = 145,957,995.43
  5. Step 5: Solve for x
    x = 145,957,995.43/13,914.64
  6. Step 6: Final answer
    x = 10,489.53

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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.