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Finding the Fourth Proportional to 9,166.60, 13,733.70 and 8,129.80

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Solution

The fourth proportional to 9,166.60, 13,733.70 and 8,129.80 is: 12,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.60 : 13,733.70 = 8,129.80 : x
  2. Step 2: Convert to fraction form
    9,166.60/13,733.70 = 8,129.80/x
  3. Step 3: Cross multiply
    9,166.60x = 13,733.70 × 8,129.80
  4. Step 4: Simplify right side
    9,166.60x = 111,652,234.26
  5. Step 5: Solve for x
    x = 111,652,234.26/9,166.60
  6. Step 6: Final answer
    x = 12,180.33

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1.5x scale

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.