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Finding the Fourth Proportional to 13,997.44, 20,996.16 and 13,142.08

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Solution

The fourth proportional to 13,997.44, 20,996.16 and 13,142.08 is: 19,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.44 : 20,996.16 = 13,142.08 : x
  2. Step 2: Convert to fraction form
    13,997.44/20,996.16 = 13,142.08/x
  3. Step 3: Cross multiply
    13,997.44x = 20,996.16 × 13,142.08
  4. Step 4: Simplify right side
    13,997.44x = 275,933,214.41
  5. Step 5: Solve for x
    x = 275,933,214.41/13,997.44
  6. Step 6: Final answer
    x = 19,713.12

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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.