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Finding the Fourth Proportional to 13,884.70, 20,872.17 and 11,141.39

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Solution

The fourth proportional to 13,884.70, 20,872.17 and 11,141.39 is: 16,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.70 : 20,872.17 = 11,141.39 : x
  2. Step 2: Convert to fraction form
    13,884.70/20,872.17 = 11,141.39/x
  3. Step 3: Cross multiply
    13,884.70x = 20,872.17 × 11,141.39
  4. Step 4: Simplify right side
    13,884.70x = 232,544,986.12
  5. Step 5: Solve for x
    x = 232,544,986.12/13,884.70
  6. Step 6: Final answer
    x = 16,748.29

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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.