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Finding the Fourth Proportional to 20,486.43, 30,733.75 and 6,449.99

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Solution

The fourth proportional to 20,486.43, 30,733.75 and 6,449.99 is: 9,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.43 : 30,733.75 = 6,449.99 : x
  2. Step 2: Convert to fraction form
    20,486.43/30,733.75 = 6,449.99/x
  3. Step 3: Cross multiply
    20,486.43x = 30,733.75 × 6,449.99
  4. Step 4: Simplify right side
    20,486.43x = 198,232,380.16
  5. Step 5: Solve for x
    x = 198,232,380.16/20,486.43
  6. Step 6: Final answer
    x = 9,676.28

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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.