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Finding the Fourth Proportional to 51,944.64, 71,722 and 31,829

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Solution

The fourth proportional to 51,944.64, 71,722 and 31,829 is: 43,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,944.64 : 71,722 = 31,829 : x
  2. Step 2: Convert to fraction form
    51,944.64/71,722 = 31,829/x
  3. Step 3: Cross multiply
    51,944.64x = 71,722 × 31,829
  4. Step 4: Simplify right side
    51,944.64x = 2,282,839,538
  5. Step 5: Solve for x
    x = 2,282,839,538/51,944.64
  6. Step 6: Final answer
    x = 43,947.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.