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Finding the Fourth Proportional to 13,113, 19,672.83 and 3,879

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Solution

The fourth proportional to 13,113, 19,672.83 and 3,879 is: 5,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113 : 19,672.83 = 3,879 : x
  2. Step 2: Convert to fraction form
    13,113/19,672.83 = 3,879/x
  3. Step 3: Cross multiply
    13,113x = 19,672.83 × 3,879
  4. Step 4: Simplify right side
    13,113x = 76,310,907.57
  5. Step 5: Solve for x
    x = 76,310,907.57/13,113
  6. Step 6: Final answer
    x = 5,819.49

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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.