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Finding the Fourth Proportional to 38,530, 53,171.46 and 20,866

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Solution

The fourth proportional to 38,530, 53,171.46 and 20,866 is: 28,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530 : 53,171.46 = 20,866 : x
  2. Step 2: Convert to fraction form
    38,530/53,171.46 = 20,866/x
  3. Step 3: Cross multiply
    38,530x = 53,171.46 × 20,866
  4. Step 4: Simplify right side
    38,530x = 1,109,475,684.36
  5. Step 5: Solve for x
    x = 1,109,475,684.36/38,530
  6. Step 6: Final answer
    x = 28,795.11

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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.