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Finding the Fourth Proportional to 27,578.34, 41,360.68 and 7,857.07

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Solution

The fourth proportional to 27,578.34, 41,360.68 and 7,857.07 is: 11,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.34 : 41,360.68 = 7,857.07 : x
  2. Step 2: Convert to fraction form
    27,578.34/41,360.68 = 7,857.07/x
  3. Step 3: Cross multiply
    27,578.34x = 41,360.68 × 7,857.07
  4. Step 4: Simplify right side
    27,578.34x = 324,973,620.23
  5. Step 5: Solve for x
    x = 324,973,620.23/27,578.34
  6. Step 6: Final answer
    x = 11,783.65

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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.