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Finding the Fourth Proportional to 8,605.25, 12,886 and 7,883.54

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Solution

The fourth proportional to 8,605.25, 12,886 and 7,883.54 is: 11,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.25 : 12,886 = 7,883.54 : x
  2. Step 2: Convert to fraction form
    8,605.25/12,886 = 7,883.54/x
  3. Step 3: Cross multiply
    8,605.25x = 12,886 × 7,883.54
  4. Step 4: Simplify right side
    8,605.25x = 101,587,296.44
  5. Step 5: Solve for x
    x = 101,587,296.44/8,605.25
  6. Step 6: Final answer
    x = 11,805.27

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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.