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Finding the Fourth Proportional to 30,250, 45,375 and 11,794.96

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Solution

The fourth proportional to 30,250, 45,375 and 11,794.96 is: 17,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250 : 45,375 = 11,794.96 : x
  2. Step 2: Convert to fraction form
    30,250/45,375 = 11,794.96/x
  3. Step 3: Cross multiply
    30,250x = 45,375 × 11,794.96
  4. Step 4: Simplify right side
    30,250x = 535,196,310.00
  5. Step 5: Solve for x
    x = 535,196,310.00/30,250
  6. Step 6: Final answer
    x = 17,692.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.