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Finding the Fourth Proportional to 22,811.20, 34,245.60 and 12,289.60

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Solution

The fourth proportional to 22,811.20, 34,245.60 and 12,289.60 is: 18,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.20 : 34,245.60 = 12,289.60 : x
  2. Step 2: Convert to fraction form
    22,811.20/34,245.60 = 12,289.60/x
  3. Step 3: Cross multiply
    22,811.20x = 34,245.60 × 12,289.60
  4. Step 4: Simplify right side
    22,811.20x = 420,864,725.76
  5. Step 5: Solve for x
    x = 420,864,725.76/22,811.20
  6. Step 6: Final answer
    x = 18,449.92

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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.