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Finding the Fourth Proportional to 2,643.92, 3,964.50 and 912.14

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Solution

The fourth proportional to 2,643.92, 3,964.50 and 912.14 is: 1,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.92 : 3,964.50 = 912.14 : x
  2. Step 2: Convert to fraction form
    2,643.92/3,964.50 = 912.14/x
  3. Step 3: Cross multiply
    2,643.92x = 3,964.50 × 912.14
  4. Step 4: Simplify right side
    2,643.92x = 3,616,179.03
  5. Step 5: Solve for x
    x = 3,616,179.03/2,643.92
  6. Step 6: Final answer
    x = 1,367.73

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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.