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Finding the Fourth Proportional to 2,674.64, 4,012 and 943.28

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Solution

The fourth proportional to 2,674.64, 4,012 and 943.28 is: 1,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.64 : 4,012 = 943.28 : x
  2. Step 2: Convert to fraction form
    2,674.64/4,012 = 943.28/x
  3. Step 3: Cross multiply
    2,674.64x = 4,012 × 943.28
  4. Step 4: Simplify right side
    2,674.64x = 3,784,439.36
  5. Step 5: Solve for x
    x = 3,784,439.36/2,674.64
  6. Step 6: Final answer
    x = 1,414.93

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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.