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Finding the Fourth Proportional to 13,682.43, 20,512.71 and 7,843.14

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Solution

The fourth proportional to 13,682.43, 20,512.71 and 7,843.14 is: 11,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.43 : 20,512.71 = 7,843.14 : x
  2. Step 2: Convert to fraction form
    13,682.43/20,512.71 = 7,843.14/x
  3. Step 3: Cross multiply
    13,682.43x = 20,512.71 × 7,843.14
  4. Step 4: Simplify right side
    13,682.43x = 160,884,056.31
  5. Step 5: Solve for x
    x = 160,884,056.31/13,682.43
  6. Step 6: Final answer
    x = 11,758.44

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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.