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Finding the Fourth Proportional to 11,751.87, 17,605.73 and 5,821.86

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Solution

The fourth proportional to 11,751.87, 17,605.73 and 5,821.86 is: 8,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.87 : 17,605.73 = 5,821.86 : x
  2. Step 2: Convert to fraction form
    11,751.87/17,605.73 = 5,821.86/x
  3. Step 3: Cross multiply
    11,751.87x = 17,605.73 × 5,821.86
  4. Step 4: Simplify right side
    11,751.87x = 102,498,095.26
  5. Step 5: Solve for x
    x = 102,498,095.26/11,751.87
  6. Step 6: Final answer
    x = 8,721.85

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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.