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Finding the Fourth Proportional to 1,943.14, 2,912.67 and 967.09

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Solution

The fourth proportional to 1,943.14, 2,912.67 and 967.09 is: 1,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.14 : 2,912.67 = 967.09 : x
  2. Step 2: Convert to fraction form
    1,943.14/2,912.67 = 967.09/x
  3. Step 3: Cross multiply
    1,943.14x = 2,912.67 × 967.09
  4. Step 4: Simplify right side
    1,943.14x = 2,816,814.03
  5. Step 5: Solve for x
    x = 2,816,814.03/1,943.14
  6. Step 6: Final answer
    x = 1,449.62

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1.5x scale

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.