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Finding the Fourth Proportional to 1,977.31, 2,963.67 and 743.93

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Solution

The fourth proportional to 1,977.31, 2,963.67 and 743.93 is: 1,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.31 : 2,963.67 = 743.93 : x
  2. Step 2: Convert to fraction form
    1,977.31/2,963.67 = 743.93/x
  3. Step 3: Cross multiply
    1,977.31x = 2,963.67 × 743.93
  4. Step 4: Simplify right side
    1,977.31x = 2,204,777.38
  5. Step 5: Solve for x
    x = 2,204,777.38/1,977.31
  6. Step 6: Final answer
    x = 1,115.04

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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.