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Finding the Fourth Proportional to 1,977, 2,728.80 and 1,149

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Solution

The fourth proportional to 1,977, 2,728.80 and 1,149 is: 1,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977 : 2,728.80 = 1,149 : x
  2. Step 2: Convert to fraction form
    1,977/2,728.80 = 1,149/x
  3. Step 3: Cross multiply
    1,977x = 2,728.80 × 1,149
  4. Step 4: Simplify right side
    1,977x = 3,135,391.20
  5. Step 5: Solve for x
    x = 3,135,391.20/1,977
  6. Step 6: Final answer
    x = 1,585.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.