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Finding the Fourth Proportional to 13,872.81, 20,811.20 and 4,509.82

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Solution

The fourth proportional to 13,872.81, 20,811.20 and 4,509.82 is: 6,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.81 : 20,811.20 = 4,509.82 : x
  2. Step 2: Convert to fraction form
    13,872.81/20,811.20 = 4,509.82/x
  3. Step 3: Cross multiply
    13,872.81x = 20,811.20 × 4,509.82
  4. Step 4: Simplify right side
    13,872.81x = 93,854,769.45
  5. Step 5: Solve for x
    x = 93,854,769.45/13,872.81
  6. Step 6: Final answer
    x = 6,765.37

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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.