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Finding the Fourth Proportional to 8,561.76, 12,842 and 5,096

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Solution

The fourth proportional to 8,561.76, 12,842 and 5,096 is: 7,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.76 : 12,842 = 5,096 : x
  2. Step 2: Convert to fraction form
    8,561.76/12,842 = 5,096/x
  3. Step 3: Cross multiply
    8,561.76x = 12,842 × 5,096
  4. Step 4: Simplify right side
    8,561.76x = 65,442,832
  5. Step 5: Solve for x
    x = 65,442,832/8,561.76
  6. Step 6: Final answer
    x = 7,643.62

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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.