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Finding the Fourth Proportional to 13,873.37, 20,808 and 5,106.24

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Solution

The fourth proportional to 13,873.37, 20,808 and 5,106.24 is: 7,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.37 : 20,808 = 5,106.24 : x
  2. Step 2: Convert to fraction form
    13,873.37/20,808 = 5,106.24/x
  3. Step 3: Cross multiply
    13,873.37x = 20,808 × 5,106.24
  4. Step 4: Simplify right side
    13,873.37x = 106,250,641.92
  5. Step 5: Solve for x
    x = 106,250,641.92/13,873.37
  6. Step 6: Final answer
    x = 7,658.61

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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.