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Finding the Fourth Proportional to 30,418.93, 41,976.02 and 16,806.38

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Solution

The fourth proportional to 30,418.93, 41,976.02 and 16,806.38 is: 23,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.93 : 41,976.02 = 16,806.38 : x
  2. Step 2: Convert to fraction form
    30,418.93/41,976.02 = 16,806.38/x
  3. Step 3: Cross multiply
    30,418.93x = 41,976.02 × 16,806.38
  4. Step 4: Simplify right side
    30,418.93x = 705,464,858.98
  5. Step 5: Solve for x
    x = 705,464,858.98/30,418.93
  6. Step 6: Final answer
    x = 23,191.64

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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.