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Finding the Fourth Proportional to 13,672.37, 20,509.28 and 3,811.61

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Solution

The fourth proportional to 13,672.37, 20,509.28 and 3,811.61 is: 5,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.37 : 20,509.28 = 3,811.61 : x
  2. Step 2: Convert to fraction form
    13,672.37/20,509.28 = 3,811.61/x
  3. Step 3: Cross multiply
    13,672.37x = 20,509.28 × 3,811.61
  4. Step 4: Simplify right side
    13,672.37x = 78,173,376.74
  5. Step 5: Solve for x
    x = 78,173,376.74/13,672.37
  6. Step 6: Final answer
    x = 5,717.62

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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.