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Finding the Fourth Proportional to 11,817.69, 16,308.77 and 6,512.85

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Solution

The fourth proportional to 11,817.69, 16,308.77 and 6,512.85 is: 8,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.69 : 16,308.77 = 6,512.85 : x
  2. Step 2: Convert to fraction form
    11,817.69/16,308.77 = 6,512.85/x
  3. Step 3: Cross multiply
    11,817.69x = 16,308.77 × 6,512.85
  4. Step 4: Simplify right side
    11,817.69x = 106,216,540.13
  5. Step 5: Solve for x
    x = 106,216,540.13/11,817.69
  6. Step 6: Final answer
    x = 8,987.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.