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Finding the Fourth Proportional to 11,945.96, 17,920.18 and 5,704.92

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Solution

The fourth proportional to 11,945.96, 17,920.18 and 5,704.92 is: 8,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.96 : 17,920.18 = 5,704.92 : x
  2. Step 2: Convert to fraction form
    11,945.96/17,920.18 = 5,704.92/x
  3. Step 3: Cross multiply
    11,945.96x = 17,920.18 × 5,704.92
  4. Step 4: Simplify right side
    11,945.96x = 102,233,193.29
  5. Step 5: Solve for x
    x = 102,233,193.29/11,945.96
  6. Step 6: Final answer
    x = 8,557.97

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1.5x scale

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.