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Finding the Fourth Proportional to 13,153.75, 19,730.67 and 3,919.75

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Solution

The fourth proportional to 13,153.75, 19,730.67 and 3,919.75 is: 5,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.75 : 19,730.67 = 3,919.75 : x
  2. Step 2: Convert to fraction form
    13,153.75/19,730.67 = 3,919.75/x
  3. Step 3: Cross multiply
    13,153.75x = 19,730.67 × 3,919.75
  4. Step 4: Simplify right side
    13,153.75x = 77,339,293.73
  5. Step 5: Solve for x
    x = 77,339,293.73/13,153.75
  6. Step 6: Final answer
    x = 5,879.64

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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.