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Finding the Fourth Proportional to 20,676.18, 30,996.12 and 8,205

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Solution

The fourth proportional to 20,676.18, 30,996.12 and 8,205 is: 12,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.18 : 30,996.12 = 8,205 : x
  2. Step 2: Convert to fraction form
    20,676.18/30,996.12 = 8,205/x
  3. Step 3: Cross multiply
    20,676.18x = 30,996.12 × 8,205
  4. Step 4: Simplify right side
    20,676.18x = 254,323,164.60
  5. Step 5: Solve for x
    x = 254,323,164.60/20,676.18
  6. Step 6: Final answer
    x = 12,300.30

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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.