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Finding the Fourth Proportional to 15,861, 23,791.50 and 4,917

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Solution

The fourth proportional to 15,861, 23,791.50 and 4,917 is: 7,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861 : 23,791.50 = 4,917 : x
  2. Step 2: Convert to fraction form
    15,861/23,791.50 = 4,917/x
  3. Step 3: Cross multiply
    15,861x = 23,791.50 × 4,917
  4. Step 4: Simplify right side
    15,861x = 116,982,805.50
  5. Step 5: Solve for x
    x = 116,982,805.50/15,861
  6. Step 6: Final answer
    x = 7,375.50

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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.