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Finding the Fourth Proportional to 16,438.24, 22,682.92 and 9,631.81

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Solution

The fourth proportional to 16,438.24, 22,682.92 and 9,631.81 is: 13,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.24 : 22,682.92 = 9,631.81 : x
  2. Step 2: Convert to fraction form
    16,438.24/22,682.92 = 9,631.81/x
  3. Step 3: Cross multiply
    16,438.24x = 22,682.92 × 9,631.81
  4. Step 4: Simplify right side
    16,438.24x = 218,477,414.11
  5. Step 5: Solve for x
    x = 218,477,414.11/16,438.24
  6. Step 6: Final answer
    x = 13,290.81

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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.