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Finding the Fourth Proportional to 31,042.32, 46,564.20 and 8,857.68

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Solution

The fourth proportional to 31,042.32, 46,564.20 and 8,857.68 is: 13,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.32 : 46,564.20 = 8,857.68 : x
  2. Step 2: Convert to fraction form
    31,042.32/46,564.20 = 8,857.68/x
  3. Step 3: Cross multiply
    31,042.32x = 46,564.20 × 8,857.68
  4. Step 4: Simplify right side
    31,042.32x = 412,450,783.06
  5. Step 5: Solve for x
    x = 412,450,783.06/31,042.32
  6. Step 6: Final answer
    x = 13,286.73

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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.