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Finding the Fourth Proportional to 38,825, 53,578.54 and 21,161

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Solution

The fourth proportional to 38,825, 53,578.54 and 21,161 is: 29,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825 : 53,578.54 = 21,161 : x
  2. Step 2: Convert to fraction form
    38,825/53,578.54 = 21,161/x
  3. Step 3: Cross multiply
    38,825x = 53,578.54 × 21,161
  4. Step 4: Simplify right side
    38,825x = 1,133,775,484.94
  5. Step 5: Solve for x
    x = 1,133,775,484.94/38,825
  6. Step 6: Final answer
    x = 29,202.20

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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.