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Finding the Fourth Proportional to 31,086.72, 46,589.76 and 12,608.64

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Solution

The fourth proportional to 31,086.72, 46,589.76 and 12,608.64 is: 18,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.72 : 46,589.76 = 12,608.64 : x
  2. Step 2: Convert to fraction form
    31,086.72/46,589.76 = 12,608.64/x
  3. Step 3: Cross multiply
    31,086.72x = 46,589.76 × 12,608.64
  4. Step 4: Simplify right side
    31,086.72x = 587,433,511.53
  5. Step 5: Solve for x
    x = 587,433,511.53/31,086.72
  6. Step 6: Final answer
    x = 18,896.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.