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Finding the Fourth Proportional to 1,976.61, 2,964.04 and 743.16

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Solution

The fourth proportional to 1,976.61, 2,964.04 and 743.16 is: 1,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.61 : 2,964.04 = 743.16 : x
  2. Step 2: Convert to fraction form
    1,976.61/2,964.04 = 743.16/x
  3. Step 3: Cross multiply
    1,976.61x = 2,964.04 × 743.16
  4. Step 4: Simplify right side
    1,976.61x = 2,202,755.97
  5. Step 5: Solve for x
    x = 2,202,755.97/1,976.61
  6. Step 6: Final answer
    x = 1,114.41

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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.