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Finding the Fourth Proportional to 30,498.98, 45,716.75 and 11,791.86

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Solution

The fourth proportional to 30,498.98, 45,716.75 and 11,791.86 is: 17,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.98 : 45,716.75 = 11,791.86 : x
  2. Step 2: Convert to fraction form
    30,498.98/45,716.75 = 11,791.86/x
  3. Step 3: Cross multiply
    30,498.98x = 45,716.75 × 11,791.86
  4. Step 4: Simplify right side
    30,498.98x = 539,085,515.66
  5. Step 5: Solve for x
    x = 539,085,515.66/30,498.98
  6. Step 6: Final answer
    x = 17,675.53

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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.