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Finding the Fourth Proportional to 38,641.98, 57,969.48 and 11,981.82

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Solution

The fourth proportional to 38,641.98, 57,969.48 and 11,981.82 is: 17,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.98 : 57,969.48 = 11,981.82 : x
  2. Step 2: Convert to fraction form
    38,641.98/57,969.48 = 11,981.82/x
  3. Step 3: Cross multiply
    38,641.98x = 57,969.48 × 11,981.82
  4. Step 4: Simplify right side
    38,641.98x = 694,579,874.85
  5. Step 5: Solve for x
    x = 694,579,874.85/38,641.98
  6. Step 6: Final answer
    x = 17,974.75

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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.