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Finding the Fourth Proportional to 12,964.80, 17,891.49 and 7,375.80

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Solution

The fourth proportional to 12,964.80, 17,891.49 and 7,375.80 is: 10,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.80 : 17,891.49 = 7,375.80 : x
  2. Step 2: Convert to fraction form
    12,964.80/17,891.49 = 7,375.80/x
  3. Step 3: Cross multiply
    12,964.80x = 17,891.49 × 7,375.80
  4. Step 4: Simplify right side
    12,964.80x = 131,964,051.94
  5. Step 5: Solve for x
    x = 131,964,051.94/12,964.80
  6. Step 6: Final answer
    x = 10,178.64

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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.