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Finding the Fourth Proportional to 19,805.50, 29,721.21 and 7,493.50

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Solution

The fourth proportional to 19,805.50, 29,721.21 and 7,493.50 is: 11,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.50 : 29,721.21 = 7,493.50 : x
  2. Step 2: Convert to fraction form
    19,805.50/29,721.21 = 7,493.50/x
  3. Step 3: Cross multiply
    19,805.50x = 29,721.21 × 7,493.50
  4. Step 4: Simplify right side
    19,805.50x = 222,715,887.14
  5. Step 5: Solve for x
    x = 222,715,887.14/19,805.50
  6. Step 6: Final answer
    x = 11,245.15

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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.