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Finding the Fourth Proportional to 7,687.80, 11,523.46 and 5,489.86

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Solution

The fourth proportional to 7,687.80, 11,523.46 and 5,489.86 is: 8,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.80 : 11,523.46 = 5,489.86 : x
  2. Step 2: Convert to fraction form
    7,687.80/11,523.46 = 5,489.86/x
  3. Step 3: Cross multiply
    7,687.80x = 11,523.46 × 5,489.86
  4. Step 4: Simplify right side
    7,687.80x = 63,262,182.12
  5. Step 5: Solve for x
    x = 63,262,182.12/7,687.80
  6. Step 6: Final answer
    x = 8,228.91

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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.