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Finding the Fourth Proportional to 11,729.00, 16,182 and 6,689.60

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Solution

The fourth proportional to 11,729.00, 16,182 and 6,689.60 is: 9,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.00 : 16,182 = 6,689.60 : x
  2. Step 2: Convert to fraction form
    11,729.00/16,182 = 6,689.60/x
  3. Step 3: Cross multiply
    11,729.00x = 16,182 × 6,689.60
  4. Step 4: Simplify right side
    11,729.00x = 108,251,026.29
  5. Step 5: Solve for x
    x = 108,251,026.29/11,729.00
  6. Step 6: Final answer
    x = 9,229.35

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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.