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Finding the Fourth Proportional to 19,480.23, 29,218.73 and 7,794.09

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Solution

The fourth proportional to 19,480.23, 29,218.73 and 7,794.09 is: 11,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480.23 : 29,218.73 = 7,794.09 : x
  2. Step 2: Convert to fraction form
    19,480.23/29,218.73 = 7,794.09/x
  3. Step 3: Cross multiply
    19,480.23x = 29,218.73 × 7,794.09
  4. Step 4: Simplify right side
    19,480.23x = 227,733,372.34
  5. Step 5: Solve for x
    x = 227,733,372.34/19,480.23
  6. Step 6: Final answer
    x = 11,690.49

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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.