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Finding the Fourth Proportional to 20,596.47, 30,894.63 and 8,109.71

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Solution

The fourth proportional to 20,596.47, 30,894.63 and 8,109.71 is: 12,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.47 : 30,894.63 = 8,109.71 : x
  2. Step 2: Convert to fraction form
    20,596.47/30,894.63 = 8,109.71/x
  3. Step 3: Cross multiply
    20,596.47x = 30,894.63 × 8,109.71
  4. Step 4: Simplify right side
    20,596.47x = 250,546,489.86
  5. Step 5: Solve for x
    x = 250,546,489.86/20,596.47
  6. Step 6: Final answer
    x = 12,164.54

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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.