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Finding the Fourth Proportional to 30,274, 41,781.60 and 17,698

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Solution

The fourth proportional to 30,274, 41,781.60 and 17,698 is: 24,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274 : 41,781.60 = 17,698 : x
  2. Step 2: Convert to fraction form
    30,274/41,781.60 = 17,698/x
  3. Step 3: Cross multiply
    30,274x = 41,781.60 × 17,698
  4. Step 4: Simplify right side
    30,274x = 739,450,756.80
  5. Step 5: Solve for x
    x = 739,450,756.80/30,274
  6. Step 6: Final answer
    x = 24,425.27

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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.