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Finding the Fourth Proportional to 31,016, 46,517 and 8,828.88

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Solution

The fourth proportional to 31,016, 46,517 and 8,828.88 is: 13,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016 : 46,517 = 8,828.88 : x
  2. Step 2: Convert to fraction form
    31,016/46,517 = 8,828.88/x
  3. Step 3: Cross multiply
    31,016x = 46,517 × 8,828.88
  4. Step 4: Simplify right side
    31,016x = 410,693,010.96
  5. Step 5: Solve for x
    x = 410,693,010.96/31,016
  6. Step 6: Final answer
    x = 13,241.33

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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.