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Finding the Fourth Proportional to 21,305, 29,400.63 and 11,873.54

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Solution

The fourth proportional to 21,305, 29,400.63 and 11,873.54 is: 16,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305 : 29,400.63 = 11,873.54 : x
  2. Step 2: Convert to fraction form
    21,305/29,400.63 = 11,873.54/x
  3. Step 3: Cross multiply
    21,305x = 29,400.63 × 11,873.54
  4. Step 4: Simplify right side
    21,305x = 349,089,556.33
  5. Step 5: Solve for x
    x = 349,089,556.33/21,305
  6. Step 6: Final answer
    x = 16,385.33

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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.