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Finding the Fourth Proportional to 20,665.50, 30,998.27 and 6,814.50

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Solution

The fourth proportional to 20,665.50, 30,998.27 and 6,814.50 is: 10,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.50 : 30,998.27 = 6,814.50 : x
  2. Step 2: Convert to fraction form
    20,665.50/30,998.27 = 6,814.50/x
  3. Step 3: Cross multiply
    20,665.50x = 30,998.27 × 6,814.50
  4. Step 4: Simplify right side
    20,665.50x = 211,237,676.84
  5. Step 5: Solve for x
    x = 211,237,676.84/20,665.50
  6. Step 6: Final answer
    x = 10,221.75

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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.