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Finding the Fourth Proportional to 8,425.91, 11,625 and 4,887.83

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Solution

The fourth proportional to 8,425.91, 11,625 and 4,887.83 is: 6,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.91 : 11,625 = 4,887.83 : x
  2. Step 2: Convert to fraction form
    8,425.91/11,625 = 4,887.83/x
  3. Step 3: Cross multiply
    8,425.91x = 11,625 × 4,887.83
  4. Step 4: Simplify right side
    8,425.91x = 56,821,023.75
  5. Step 5: Solve for x
    x = 56,821,023.75/8,425.91
  6. Step 6: Final answer
    x = 6,743.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.