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Finding the Fourth Proportional to 7,792.11, 11,690.88 and 3,409.89

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Solution

The fourth proportional to 7,792.11, 11,690.88 and 3,409.89 is: 5,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.11 : 11,690.88 = 3,409.89 : x
  2. Step 2: Convert to fraction form
    7,792.11/11,690.88 = 3,409.89/x
  3. Step 3: Cross multiply
    7,792.11x = 11,690.88 × 3,409.89
  4. Step 4: Simplify right side
    7,792.11x = 39,864,614.80
  5. Step 5: Solve for x
    x = 39,864,614.80/7,792.11
  6. Step 6: Final answer
    x = 5,116.02

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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.