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Finding the Fourth Proportional to 16,431.72, 22,676.40 and 9,358.02

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Solution

The fourth proportional to 16,431.72, 22,676.40 and 9,358.02 is: 12,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.72 : 22,676.40 = 9,358.02 : x
  2. Step 2: Convert to fraction form
    16,431.72/22,676.40 = 9,358.02/x
  3. Step 3: Cross multiply
    16,431.72x = 22,676.40 × 9,358.02
  4. Step 4: Simplify right side
    16,431.72x = 212,206,204.73
  5. Step 5: Solve for x
    x = 212,206,204.73/16,431.72
  6. Step 6: Final answer
    x = 12,914.42

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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.