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Finding the Fourth Proportional to 11,800.57, 17,725.47 and 6,879.82

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Solution

The fourth proportional to 11,800.57, 17,725.47 and 6,879.82 is: 10,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.57 : 17,725.47 = 6,879.82 : x
  2. Step 2: Convert to fraction form
    11,800.57/17,725.47 = 6,879.82/x
  3. Step 3: Cross multiply
    11,800.57x = 17,725.47 × 6,879.82
  4. Step 4: Simplify right side
    11,800.57x = 121,948,006.14
  5. Step 5: Solve for x
    x = 121,948,006.14/11,800.57
  6. Step 6: Final answer
    x = 10,334.08

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