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Finding the Fourth Proportional to 7,792.15, 11,687.84 and 2,861.40

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Solution

The fourth proportional to 7,792.15, 11,687.84 and 2,861.40 is: 4,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.15 : 11,687.84 = 2,861.40 : x
  2. Step 2: Convert to fraction form
    7,792.15/11,687.84 = 2,861.40/x
  3. Step 3: Cross multiply
    7,792.15x = 11,687.84 × 2,861.40
  4. Step 4: Simplify right side
    7,792.15x = 33,443,585.38
  5. Step 5: Solve for x
    x = 33,443,585.38/7,792.15
  6. Step 6: Final answer
    x = 4,291.96

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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.