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Finding the Fourth Proportional to 27,617.85, 41,428.22 and 7,899.39

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Solution

The fourth proportional to 27,617.85, 41,428.22 and 7,899.39 is: 11,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.85 : 41,428.22 = 7,899.39 : x
  2. Step 2: Convert to fraction form
    27,617.85/41,428.22 = 7,899.39/x
  3. Step 3: Cross multiply
    27,617.85x = 41,428.22 × 7,899.39
  4. Step 4: Simplify right side
    27,617.85x = 327,257,627.29
  5. Step 5: Solve for x
    x = 327,257,627.29/27,617.85
  6. Step 6: Final answer
    x = 11,849.50

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1.5x scale

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.