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Finding the Fourth Proportional to 27,418.98, 41,128.30 and 7,697.55

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Solution

The fourth proportional to 27,418.98, 41,128.30 and 7,697.55 is: 11,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.98 : 41,128.30 = 7,697.55 : x
  2. Step 2: Convert to fraction form
    27,418.98/41,128.30 = 7,697.55/x
  3. Step 3: Cross multiply
    27,418.98x = 41,128.30 × 7,697.55
  4. Step 4: Simplify right side
    27,418.98x = 316,587,107.18
  5. Step 5: Solve for x
    x = 316,587,107.18/27,418.98
  6. Step 6: Final answer
    x = 11,546.28

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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.