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Finding the Fourth Proportional to 31,190.62, 46,780.26 and 8,998.54

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Solution

The fourth proportional to 31,190.62, 46,780.26 and 8,998.54 is: 13,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,190.62 : 46,780.26 = 8,998.54 : x
  2. Step 2: Convert to fraction form
    31,190.62/46,780.26 = 8,998.54/x
  3. Step 3: Cross multiply
    31,190.62x = 46,780.26 × 8,998.54
  4. Step 4: Simplify right side
    31,190.62x = 420,954,040.82
  5. Step 5: Solve for x
    x = 420,954,040.82/31,190.62
  6. Step 6: Final answer
    x = 13,496.17

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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.