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Finding the Fourth Proportional to 27,308.85, 40,934.11 and 19,493.97

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Solution

The fourth proportional to 27,308.85, 40,934.11 and 19,493.97 is: 29,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,308.85 : 40,934.11 = 19,493.97 : x
  2. Step 2: Convert to fraction form
    27,308.85/40,934.11 = 19,493.97/x
  3. Step 3: Cross multiply
    27,308.85x = 40,934.11 × 19,493.97
  4. Step 4: Simplify right side
    27,308.85x = 797,968,146.63
  5. Step 5: Solve for x
    x = 797,968,146.63/27,308.85
  6. Step 6: Final answer
    x = 29,220.13

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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.