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Finding the Fourth Proportional to 13,383.12, 20,087 and 6,814

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Solution

The fourth proportional to 13,383.12, 20,087 and 6,814 is: 10,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.12 : 20,087 = 6,814 : x
  2. Step 2: Convert to fraction form
    13,383.12/20,087 = 6,814/x
  3. Step 3: Cross multiply
    13,383.12x = 20,087 × 6,814
  4. Step 4: Simplify right side
    13,383.12x = 136,872,818
  5. Step 5: Solve for x
    x = 136,872,818/13,383.12
  6. Step 6: Final answer
    x = 10,227.27

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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.