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Finding the Fourth Proportional to 11,642.48, 16,066.98 and 8,245.58

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Solution

The fourth proportional to 11,642.48, 16,066.98 and 8,245.58 is: 11,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.48 : 16,066.98 = 8,245.58 : x
  2. Step 2: Convert to fraction form
    11,642.48/16,066.98 = 8,245.58/x
  3. Step 3: Cross multiply
    11,642.48x = 16,066.98 × 8,245.58
  4. Step 4: Simplify right side
    11,642.48x = 132,481,589.56
  5. Step 5: Solve for x
    x = 132,481,589.56/11,642.48
  6. Step 6: Final answer
    x = 11,379.15

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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.