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Finding the Fourth Proportional to 30,206, 41,684.32 and 16,958

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Solution

The fourth proportional to 30,206, 41,684.32 and 16,958 is: 23,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206 : 41,684.32 = 16,958 : x
  2. Step 2: Convert to fraction form
    30,206/41,684.32 = 16,958/x
  3. Step 3: Cross multiply
    30,206x = 41,684.32 × 16,958
  4. Step 4: Simplify right side
    30,206x = 706,882,698.56
  5. Step 5: Solve for x
    x = 706,882,698.56/30,206
  6. Step 6: Final answer
    x = 23,402.06

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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.