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Finding the Fourth Proportional to 13,687.30, 20,518.80 and 4,919.86

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Solution

The fourth proportional to 13,687.30, 20,518.80 and 4,919.86 is: 7,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.30 : 20,518.80 = 4,919.86 : x
  2. Step 2: Convert to fraction form
    13,687.30/20,518.80 = 4,919.86/x
  3. Step 3: Cross multiply
    13,687.30x = 20,518.80 × 4,919.86
  4. Step 4: Simplify right side
    13,687.30x = 100,949,623.37
  5. Step 5: Solve for x
    x = 100,949,623.37/13,687.30
  6. Step 6: Final answer
    x = 7,375.42

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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.