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Finding the Fourth Proportional to 20,512.56, 30,778.56 and 8,829.12

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Solution

The fourth proportional to 20,512.56, 30,778.56 and 8,829.12 is: 13,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.56 : 30,778.56 = 8,829.12 : x
  2. Step 2: Convert to fraction form
    20,512.56/30,778.56 = 8,829.12/x
  3. Step 3: Cross multiply
    20,512.56x = 30,778.56 × 8,829.12
  4. Step 4: Simplify right side
    20,512.56x = 271,747,599.67
  5. Step 5: Solve for x
    x = 271,747,599.67/20,512.56
  6. Step 6: Final answer
    x = 13,247.86

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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.