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Finding the Fourth Proportional to 43,129.63, 64,694.44 and 11,964.88

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Solution

The fourth proportional to 43,129.63, 64,694.44 and 11,964.88 is: 17,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129.63 : 64,694.44 = 11,964.88 : x
  2. Step 2: Convert to fraction form
    43,129.63/64,694.44 = 11,964.88/x
  3. Step 3: Cross multiply
    43,129.63x = 64,694.44 × 11,964.88
  4. Step 4: Simplify right side
    43,129.63x = 774,061,211.27
  5. Step 5: Solve for x
    x = 774,061,211.27/43,129.63
  6. Step 6: Final answer
    x = 17,947.32

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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.