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Finding the Fourth Proportional to 13,676.54, 20,515.91 and 3,815.91

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Solution

The fourth proportional to 13,676.54, 20,515.91 and 3,815.91 is: 5,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.54 : 20,515.91 = 3,815.91 : x
  2. Step 2: Convert to fraction form
    13,676.54/20,515.91 = 3,815.91/x
  3. Step 3: Cross multiply
    13,676.54x = 20,515.91 × 3,815.91
  4. Step 4: Simplify right side
    13,676.54x = 78,286,866.13
  5. Step 5: Solve for x
    x = 78,286,866.13/13,676.54
  6. Step 6: Final answer
    x = 5,724.17

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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.