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Finding the Fourth Proportional to 20,446.92, 30,676.86 and 7,299

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Solution

The fourth proportional to 20,446.92, 30,676.86 and 7,299 is: 10,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.92 : 30,676.86 = 7,299 : x
  2. Step 2: Convert to fraction form
    20,446.92/30,676.86 = 7,299/x
  3. Step 3: Cross multiply
    20,446.92x = 30,676.86 × 7,299
  4. Step 4: Simplify right side
    20,446.92x = 223,910,401.14
  5. Step 5: Solve for x
    x = 223,910,401.14/20,446.92
  6. Step 6: Final answer
    x = 10,950.81

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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.