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Finding the Fourth Proportional to 8,678.63, 11,965.62 and 7,083.66

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Solution

The fourth proportional to 8,678.63, 11,965.62 and 7,083.66 is: 9,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.63 : 11,965.62 = 7,083.66 : x
  2. Step 2: Convert to fraction form
    8,678.63/11,965.62 = 7,083.66/x
  3. Step 3: Cross multiply
    8,678.63x = 11,965.62 × 7,083.66
  4. Step 4: Simplify right side
    8,678.63x = 84,760,396.31
  5. Step 5: Solve for x
    x = 84,760,396.31/8,678.63
  6. Step 6: Final answer
    x = 9,766.56

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1.5x scale

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.