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Finding the Fourth Proportional to 38,662.31, 53,353.99 and 21,895.31

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Solution

The fourth proportional to 38,662.31, 53,353.99 and 21,895.31 is: 30,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.31 : 53,353.99 = 21,895.31 : x
  2. Step 2: Convert to fraction form
    38,662.31/53,353.99 = 21,895.31/x
  3. Step 3: Cross multiply
    38,662.31x = 53,353.99 × 21,895.31
  4. Step 4: Simplify right side
    38,662.31x = 1,168,202,311.54
  5. Step 5: Solve for x
    x = 1,168,202,311.54/38,662.31
  6. Step 6: Final answer
    x = 30,215.53

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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.