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Finding the Fourth Proportional to 20,191.60, 30,229.80 and 12,415.60

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Solution

The fourth proportional to 20,191.60, 30,229.80 and 12,415.60 is: 18,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.60 : 30,229.80 = 12,415.60 : x
  2. Step 2: Convert to fraction form
    20,191.60/30,229.80 = 12,415.60/x
  3. Step 3: Cross multiply
    20,191.60x = 30,229.80 × 12,415.60
  4. Step 4: Simplify right side
    20,191.60x = 375,321,104.88
  5. Step 5: Solve for x
    x = 375,321,104.88/20,191.60
  6. Step 6: Final answer
    x = 18,587.98

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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.