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Finding the Fourth Proportional to 20,645.42, 30,957.20 and 8,164.94

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Solution

The fourth proportional to 20,645.42, 30,957.20 and 8,164.94 is: 12,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.42 : 30,957.20 = 8,164.94 : x
  2. Step 2: Convert to fraction form
    20,645.42/30,957.20 = 8,164.94/x
  3. Step 3: Cross multiply
    20,645.42x = 30,957.20 × 8,164.94
  4. Step 4: Simplify right side
    20,645.42x = 252,763,639.74
  5. Step 5: Solve for x
    x = 252,763,639.74/20,645.42
  6. Step 6: Final answer
    x = 12,243.09

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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.