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Finding the Fourth Proportional to 12,217.10, 16,858.48 and 6,839.25

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Solution

The fourth proportional to 12,217.10, 16,858.48 and 6,839.25 is: 9,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.10 : 16,858.48 = 6,839.25 : x
  2. Step 2: Convert to fraction form
    12,217.10/16,858.48 = 6,839.25/x
  3. Step 3: Cross multiply
    12,217.10x = 16,858.48 × 6,839.25
  4. Step 4: Simplify right side
    12,217.10x = 115,299,359.34
  5. Step 5: Solve for x
    x = 115,299,359.34/12,217.10
  6. Step 6: Final answer
    x = 9,437.54

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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.