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Finding the Fourth Proportional to 20,578.64, 30,846.77 and 8,093.61

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Solution

The fourth proportional to 20,578.64, 30,846.77 and 8,093.61 is: 12,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.64 : 30,846.77 = 8,093.61 : x
  2. Step 2: Convert to fraction form
    20,578.64/30,846.77 = 8,093.61/x
  3. Step 3: Cross multiply
    20,578.64x = 30,846.77 × 8,093.61
  4. Step 4: Simplify right side
    20,578.64x = 249,661,571.91
  5. Step 5: Solve for x
    x = 249,661,571.91/20,578.64
  6. Step 6: Final answer
    x = 12,132.07

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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.