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Finding the Fourth Proportional to 7,772.25, 11,647.92 and 4,257

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Solution

The fourth proportional to 7,772.25, 11,647.92 and 4,257 is: 6,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.25 : 11,647.92 = 4,257 : x
  2. Step 2: Convert to fraction form
    7,772.25/11,647.92 = 4,257/x
  3. Step 3: Cross multiply
    7,772.25x = 11,647.92 × 4,257
  4. Step 4: Simplify right side
    7,772.25x = 49,585,195.44
  5. Step 5: Solve for x
    x = 49,585,195.44/7,772.25
  6. Step 6: Final answer
    x = 6,379.77

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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.