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Finding the Fourth Proportional to 19,211, 28,805.43 and 7,517.84

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Solution

The fourth proportional to 19,211, 28,805.43 and 7,517.84 is: 11,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,211 : 28,805.43 = 7,517.84 : x
  2. Step 2: Convert to fraction form
    19,211/28,805.43 = 7,517.84/x
  3. Step 3: Cross multiply
    19,211x = 28,805.43 × 7,517.84
  4. Step 4: Simplify right side
    19,211x = 216,554,613.87
  5. Step 5: Solve for x
    x = 216,554,613.87/19,211
  6. Step 6: Final answer
    x = 11,272.43

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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.