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Finding the Fourth Proportional to 38,906.94, 53,696.70 and 21,914.52

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Solution

The fourth proportional to 38,906.94, 53,696.70 and 21,914.52 is: 30,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,906.94 : 53,696.70 = 21,914.52 : x
  2. Step 2: Convert to fraction form
    38,906.94/53,696.70 = 21,914.52/x
  3. Step 3: Cross multiply
    38,906.94x = 53,696.70 × 21,914.52
  4. Step 4: Simplify right side
    38,906.94x = 1,176,737,406.08
  5. Step 5: Solve for x
    x = 1,176,737,406.08/38,906.94
  6. Step 6: Final answer
    x = 30,244.92

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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.