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Finding the Fourth Proportional to 11,091.99, 16,638 and 6,471.75

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Solution

The fourth proportional to 11,091.99, 16,638 and 6,471.75 is: 9,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.99 : 16,638 = 6,471.75 : x
  2. Step 2: Convert to fraction form
    11,091.99/16,638 = 6,471.75/x
  3. Step 3: Cross multiply
    11,091.99x = 16,638 × 6,471.75
  4. Step 4: Simplify right side
    11,091.99x = 107,676,976.50
  5. Step 5: Solve for x
    x = 107,676,976.50/11,091.99
  6. Step 6: Final answer
    x = 9,707.63

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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.