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Finding the Fourth Proportional to 30,498.26, 45,721.07 and 11,791.40

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Solution

The fourth proportional to 30,498.26, 45,721.07 and 11,791.40 is: 17,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.26 : 45,721.07 = 11,791.40 : x
  2. Step 2: Convert to fraction form
    30,498.26/45,721.07 = 11,791.40/x
  3. Step 3: Cross multiply
    30,498.26x = 45,721.07 × 11,791.40
  4. Step 4: Simplify right side
    30,498.26x = 539,115,365.84
  5. Step 5: Solve for x
    x = 539,115,365.84/30,498.26
  6. Step 6: Final answer
    x = 17,676.92

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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.