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Finding the Fourth Proportional to 11,856, 17,790.48 and 5,700

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Solution

The fourth proportional to 11,856, 17,790.48 and 5,700 is: 8,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856 : 17,790.48 = 5,700 : x
  2. Step 2: Convert to fraction form
    11,856/17,790.48 = 5,700/x
  3. Step 3: Cross multiply
    11,856x = 17,790.48 × 5,700
  4. Step 4: Simplify right side
    11,856x = 101,405,736
  5. Step 5: Solve for x
    x = 101,405,736/11,856
  6. Step 6: Final answer
    x = 8,553.12

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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.