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Finding the Fourth Proportional to 8,383.80, 11,573.18 and 5,658.86

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Solution

The fourth proportional to 8,383.80, 11,573.18 and 5,658.86 is: 7,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.80 : 11,573.18 = 5,658.86 : x
  2. Step 2: Convert to fraction form
    8,383.80/11,573.18 = 5,658.86/x
  3. Step 3: Cross multiply
    8,383.80x = 11,573.18 × 5,658.86
  4. Step 4: Simplify right side
    8,383.80x = 65,491,027.23
  5. Step 5: Solve for x
    x = 65,491,027.23/8,383.80
  6. Step 6: Final answer
    x = 7,811.61

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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.