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Finding the Fourth Proportional to 31,841.68, 43,942.03 and 18,229.67

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Solution

The fourth proportional to 31,841.68, 43,942.03 and 18,229.67 is: 25,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.68 : 43,942.03 = 18,229.67 : x
  2. Step 2: Convert to fraction form
    31,841.68/43,942.03 = 18,229.67/x
  3. Step 3: Cross multiply
    31,841.68x = 43,942.03 × 18,229.67
  4. Step 4: Simplify right side
    31,841.68x = 801,048,706.03
  5. Step 5: Solve for x
    x = 801,048,706.03/31,841.68
  6. Step 6: Final answer
    x = 25,157.24

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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.