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Finding the Fourth Proportional to 27,485.82, 41,223.99 and 7,759.77

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Solution

The fourth proportional to 27,485.82, 41,223.99 and 7,759.77 is: 11,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,485.82 : 41,223.99 = 7,759.77 : x
  2. Step 2: Convert to fraction form
    27,485.82/41,223.99 = 7,759.77/x
  3. Step 3: Cross multiply
    27,485.82x = 41,223.99 × 7,759.77
  4. Step 4: Simplify right side
    27,485.82x = 319,888,680.88
  5. Step 5: Solve for x
    x = 319,888,680.88/27,485.82
  6. Step 6: Final answer
    x = 11,638.32

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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.