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Finding the Fourth Proportional to 20,635.88, 30,953.82 and 8,321

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Solution

The fourth proportional to 20,635.88, 30,953.82 and 8,321 is: 12,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.88 : 30,953.82 = 8,321 : x
  2. Step 2: Convert to fraction form
    20,635.88/30,953.82 = 8,321/x
  3. Step 3: Cross multiply
    20,635.88x = 30,953.82 × 8,321
  4. Step 4: Simplify right side
    20,635.88x = 257,566,736.22
  5. Step 5: Solve for x
    x = 257,566,736.22/20,635.88
  6. Step 6: Final answer
    x = 12,481.50

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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.