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Finding the Fourth Proportional to 11,770.60, 16,244.28 and 7,784.80

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Solution

The fourth proportional to 11,770.60, 16,244.28 and 7,784.80 is: 10,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.60 : 16,244.28 = 7,784.80 : x
  2. Step 2: Convert to fraction form
    11,770.60/16,244.28 = 7,784.80/x
  3. Step 3: Cross multiply
    11,770.60x = 16,244.28 × 7,784.80
  4. Step 4: Simplify right side
    11,770.60x = 126,458,470.94
  5. Step 5: Solve for x
    x = 126,458,470.94/11,770.60
  6. Step 6: Final answer
    x = 10,743.59

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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.