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Finding the Fourth Proportional to 8,495.53, 12,730.97 and 4,789.85

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Solution

The fourth proportional to 8,495.53, 12,730.97 and 4,789.85 is: 7,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.53 : 12,730.97 = 4,789.85 : x
  2. Step 2: Convert to fraction form
    8,495.53/12,730.97 = 4,789.85/x
  3. Step 3: Cross multiply
    8,495.53x = 12,730.97 × 4,789.85
  4. Step 4: Simplify right side
    8,495.53x = 60,979,436.65
  5. Step 5: Solve for x
    x = 60,979,436.65/8,495.53
  6. Step 6: Final answer
    x = 7,177.83

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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.