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Finding the Fourth Proportional to 30,694.20, 42,364.80 and 20,077.80

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Solution

The fourth proportional to 30,694.20, 42,364.80 and 20,077.80 is: 27,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.20 : 42,364.80 = 20,077.80 : x
  2. Step 2: Convert to fraction form
    30,694.20/42,364.80 = 20,077.80/x
  3. Step 3: Cross multiply
    30,694.20x = 42,364.80 × 20,077.80
  4. Step 4: Simplify right side
    30,694.20x = 850,591,981.44
  5. Step 5: Solve for x
    x = 850,591,981.44/30,694.20
  6. Step 6: Final answer
    x = 27,711.81

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1.5x scale

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.