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Finding the Fourth Proportional to 30,405, 41,958.60 and 16,975.44

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Solution

The fourth proportional to 30,405, 41,958.60 and 16,975.44 is: 23,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405 : 41,958.60 = 16,975.44 : x
  2. Step 2: Convert to fraction form
    30,405/41,958.60 = 16,975.44/x
  3. Step 3: Cross multiply
    30,405x = 41,958.60 × 16,975.44
  4. Step 4: Simplify right side
    30,405x = 712,265,696.78
  5. Step 5: Solve for x
    x = 712,265,696.78/30,405
  6. Step 6: Final answer
    x = 23,425.94

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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.