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Finding the Fourth Proportional to 12,182.67, 16,811.96 and 6,877.17

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Solution

The fourth proportional to 12,182.67, 16,811.96 and 6,877.17 is: 9,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.67 : 16,811.96 = 6,877.17 : x
  2. Step 2: Convert to fraction form
    12,182.67/16,811.96 = 6,877.17/x
  3. Step 3: Cross multiply
    12,182.67x = 16,811.96 × 6,877.17
  4. Step 4: Simplify right side
    12,182.67x = 115,618,672.57
  5. Step 5: Solve for x
    x = 115,618,672.57/12,182.67
  6. Step 6: Final answer
    x = 9,490.42

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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.