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Finding the Fourth Proportional to 8,590.97, 11,766.69 and 8,086.61

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Solution

The fourth proportional to 8,590.97, 11,766.69 and 8,086.61 is: 11,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.97 : 11,766.69 = 8,086.61 : x
  2. Step 2: Convert to fraction form
    8,590.97/11,766.69 = 8,086.61/x
  3. Step 3: Cross multiply
    8,590.97x = 11,766.69 × 8,086.61
  4. Step 4: Simplify right side
    8,590.97x = 95,152,662.44
  5. Step 5: Solve for x
    x = 95,152,662.44/8,590.97
  6. Step 6: Final answer
    x = 11,075.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.