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Finding the Fourth Proportional to 7,861, 11,791.58 and 2,389

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Solution

The fourth proportional to 7,861, 11,791.58 and 2,389 is: 3,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861 : 11,791.58 = 2,389 : x
  2. Step 2: Convert to fraction form
    7,861/11,791.58 = 2,389/x
  3. Step 3: Cross multiply
    7,861x = 11,791.58 × 2,389
  4. Step 4: Simplify right side
    7,861x = 28,170,084.62
  5. Step 5: Solve for x
    x = 28,170,084.62/7,861
  6. Step 6: Final answer
    x = 3,583.52

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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.