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Finding the Fourth Proportional to 38,120.25, 52,605.96 and 21,353.25

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Solution

The fourth proportional to 38,120.25, 52,605.96 and 21,353.25 is: 29,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,120.25 : 52,605.96 = 21,353.25 : x
  2. Step 2: Convert to fraction form
    38,120.25/52,605.96 = 21,353.25/x
  3. Step 3: Cross multiply
    38,120.25x = 52,605.96 × 21,353.25
  4. Step 4: Simplify right side
    38,120.25x = 1,123,308,215.37
  5. Step 5: Solve for x
    x = 1,123,308,215.37/38,120.25
  6. Step 6: Final answer
    x = 29,467.49

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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.