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Finding the Fourth Proportional to 31,684.50, 43,684.83 and 20,333.97

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Solution

The fourth proportional to 31,684.50, 43,684.83 and 20,333.97 is: 28,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.50 : 43,684.83 = 20,333.97 : x
  2. Step 2: Convert to fraction form
    31,684.50/43,684.83 = 20,333.97/x
  3. Step 3: Cross multiply
    31,684.50x = 43,684.83 × 20,333.97
  4. Step 4: Simplify right side
    31,684.50x = 888,286,022.68
  5. Step 5: Solve for x
    x = 888,286,022.68/31,684.50
  6. Step 6: Final answer
    x = 28,035.35

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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.