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Finding the Fourth Proportional to 39,716.82, 54,810.12 and 21,813

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Solution

The fourth proportional to 39,716.82, 54,810.12 and 21,813 is: 30,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716.82 : 54,810.12 = 21,813 : x
  2. Step 2: Convert to fraction form
    39,716.82/54,810.12 = 21,813/x
  3. Step 3: Cross multiply
    39,716.82x = 54,810.12 × 21,813
  4. Step 4: Simplify right side
    39,716.82x = 1,195,573,147.56
  5. Step 5: Solve for x
    x = 1,195,573,147.56/39,716.82
  6. Step 6: Final answer
    x = 30,102.44

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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.