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Finding the Fourth Proportional to 20,857, 28,778.18 and 12,361.78

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Solution

The fourth proportional to 20,857, 28,778.18 and 12,361.78 is: 17,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857 : 28,778.18 = 12,361.78 : x
  2. Step 2: Convert to fraction form
    20,857/28,778.18 = 12,361.78/x
  3. Step 3: Cross multiply
    20,857x = 28,778.18 × 12,361.78
  4. Step 4: Simplify right side
    20,857x = 355,749,529.96
  5. Step 5: Solve for x
    x = 355,749,529.96/20,857
  6. Step 6: Final answer
    x = 17,056.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.