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Finding the Fourth Proportional to 11,854.14, 16,361.66 and 8,672.05

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Solution

The fourth proportional to 11,854.14, 16,361.66 and 8,672.05 is: 11,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.14 : 16,361.66 = 8,672.05 : x
  2. Step 2: Convert to fraction form
    11,854.14/16,361.66 = 8,672.05/x
  3. Step 3: Cross multiply
    11,854.14x = 16,361.66 × 8,672.05
  4. Step 4: Simplify right side
    11,854.14x = 141,889,133.60
  5. Step 5: Solve for x
    x = 141,889,133.60/11,854.14
  6. Step 6: Final answer
    x = 11,969.58

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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.