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Finding the Fourth Proportional to 11,761.69, 16,230.58 and 6,456.60

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Solution

The fourth proportional to 11,761.69, 16,230.58 and 6,456.60 is: 8,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.69 : 16,230.58 = 6,456.60 : x
  2. Step 2: Convert to fraction form
    11,761.69/16,230.58 = 6,456.60/x
  3. Step 3: Cross multiply
    11,761.69x = 16,230.58 × 6,456.60
  4. Step 4: Simplify right side
    11,761.69x = 104,794,362.83
  5. Step 5: Solve for x
    x = 104,794,362.83/11,761.69
  6. Step 6: Final answer
    x = 8,909.80

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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.