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Finding the Fourth Proportional to 13,785, 20,680.96 and 4,425.85

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Solution

The fourth proportional to 13,785, 20,680.96 and 4,425.85 is: 6,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785 : 20,680.96 = 4,425.85 : x
  2. Step 2: Convert to fraction form
    13,785/20,680.96 = 4,425.85/x
  3. Step 3: Cross multiply
    13,785x = 20,680.96 × 4,425.85
  4. Step 4: Simplify right side
    13,785x = 91,530,826.82
  5. Step 5: Solve for x
    x = 91,530,826.82/13,785
  6. Step 6: Final answer
    x = 6,639.89

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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.