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Finding the Fourth Proportional to 38,309.66, 57,414.70 and 21,441.98

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Solution

The fourth proportional to 38,309.66, 57,414.70 and 21,441.98 is: 32,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.66 : 57,414.70 = 21,441.98 : x
  2. Step 2: Convert to fraction form
    38,309.66/57,414.70 = 21,441.98/x
  3. Step 3: Cross multiply
    38,309.66x = 57,414.70 × 21,441.98
  4. Step 4: Simplify right side
    38,309.66x = 1,231,084,849.11
  5. Step 5: Solve for x
    x = 1,231,084,849.11/38,309.66
  6. Step 6: Final answer
    x = 32,135.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.