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Finding the Fourth Proportional to 13,912.64, 20,857.44 and 6,994.88

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Solution

The fourth proportional to 13,912.64, 20,857.44 and 6,994.88 is: 10,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.64 : 20,857.44 = 6,994.88 : x
  2. Step 2: Convert to fraction form
    13,912.64/20,857.44 = 6,994.88/x
  3. Step 3: Cross multiply
    13,912.64x = 20,857.44 × 6,994.88
  4. Step 4: Simplify right side
    13,912.64x = 145,895,289.91
  5. Step 5: Solve for x
    x = 145,895,289.91/13,912.64
  6. Step 6: Final answer
    x = 10,486.53

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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.