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Finding the Fourth Proportional to 31,744.84, 47,620.45 and 11,759.71

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Solution

The fourth proportional to 31,744.84, 47,620.45 and 11,759.71 is: 17,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.84 : 47,620.45 = 11,759.71 : x
  2. Step 2: Convert to fraction form
    31,744.84/47,620.45 = 11,759.71/x
  3. Step 3: Cross multiply
    31,744.84x = 47,620.45 × 11,759.71
  4. Step 4: Simplify right side
    31,744.84x = 560,002,682.07
  5. Step 5: Solve for x
    x = 560,002,682.07/31,744.84
  6. Step 6: Final answer
    x = 17,640.75

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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.