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Finding the Fourth Proportional to 11,289.68, 16,945.44 and 5,450.40

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Solution

The fourth proportional to 11,289.68, 16,945.44 and 5,450.40 is: 8,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.68 : 16,945.44 = 5,450.40 : x
  2. Step 2: Convert to fraction form
    11,289.68/16,945.44 = 5,450.40/x
  3. Step 3: Cross multiply
    11,289.68x = 16,945.44 × 5,450.40
  4. Step 4: Simplify right side
    11,289.68x = 92,359,426.18
  5. Step 5: Solve for x
    x = 92,359,426.18/11,289.68
  6. Step 6: Final answer
    x = 8,180.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.