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Finding the Fourth Proportional to 41,963, 62,944.50 and 12,779

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Solution

The fourth proportional to 41,963, 62,944.50 and 12,779 is: 19,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,963 : 62,944.50 = 12,779 : x
  2. Step 2: Convert to fraction form
    41,963/62,944.50 = 12,779/x
  3. Step 3: Cross multiply
    41,963x = 62,944.50 × 12,779
  4. Step 4: Simplify right side
    41,963x = 804,367,765.50
  5. Step 5: Solve for x
    x = 804,367,765.50/41,963
  6. Step 6: Final answer
    x = 19,168.50

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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.