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Finding the Fourth Proportional to 20,493.57, 30,724.76 and 8,650.97

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Solution

The fourth proportional to 20,493.57, 30,724.76 and 8,650.97 is: 12,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.57 : 30,724.76 = 8,650.97 : x
  2. Step 2: Convert to fraction form
    20,493.57/30,724.76 = 8,650.97/x
  3. Step 3: Cross multiply
    20,493.57x = 30,724.76 × 8,650.97
  4. Step 4: Simplify right side
    20,493.57x = 265,798,780.14
  5. Step 5: Solve for x
    x = 265,798,780.14/20,493.57
  6. Step 6: Final answer
    x = 12,969.86

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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.