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Finding the Fourth Proportional to 8,326.25, 11,490.74 and 4,789.38

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Solution

The fourth proportional to 8,326.25, 11,490.74 and 4,789.38 is: 6,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.25 : 11,490.74 = 4,789.38 : x
  2. Step 2: Convert to fraction form
    8,326.25/11,490.74 = 4,789.38/x
  3. Step 3: Cross multiply
    8,326.25x = 11,490.74 × 4,789.38
  4. Step 4: Simplify right side
    8,326.25x = 55,033,520.34
  5. Step 5: Solve for x
    x = 55,033,520.34/8,326.25
  6. Step 6: Final answer
    x = 6,609.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.