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Finding the Fourth Proportional to 8,723.70, 13,080.69 and 7,686.09

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Solution

The fourth proportional to 8,723.70, 13,080.69 and 7,686.09 is: 11,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.70 : 13,080.69 = 7,686.09 : x
  2. Step 2: Convert to fraction form
    8,723.70/13,080.69 = 7,686.09/x
  3. Step 3: Cross multiply
    8,723.70x = 13,080.69 × 7,686.09
  4. Step 4: Simplify right side
    8,723.70x = 100,539,360.60
  5. Step 5: Solve for x
    x = 100,539,360.60/8,723.70
  6. Step 6: Final answer
    x = 11,524.85

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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.