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Finding the Fourth Proportional to 20,561.60, 30,820.80 and 8,076.80

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Solution

The fourth proportional to 20,561.60, 30,820.80 and 8,076.80 is: 12,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.60 : 30,820.80 = 8,076.80 : x
  2. Step 2: Convert to fraction form
    20,561.60/30,820.80 = 8,076.80/x
  3. Step 3: Cross multiply
    20,561.60x = 30,820.80 × 8,076.80
  4. Step 4: Simplify right side
    20,561.60x = 248,933,437.44
  5. Step 5: Solve for x
    x = 248,933,437.44/20,561.60
  6. Step 6: Final answer
    x = 12,106.72

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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.