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Finding the Fourth Proportional to 11,610.72, 17,414.64 and 4,214.88

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Solution

The fourth proportional to 11,610.72, 17,414.64 and 4,214.88 is: 6,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.72 : 17,414.64 = 4,214.88 : x
  2. Step 2: Convert to fraction form
    11,610.72/17,414.64 = 4,214.88/x
  3. Step 3: Cross multiply
    11,610.72x = 17,414.64 × 4,214.88
  4. Step 4: Simplify right side
    11,610.72x = 73,400,617.84
  5. Step 5: Solve for x
    x = 73,400,617.84/11,610.72
  6. Step 6: Final answer
    x = 6,321.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.