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Finding the Fourth Proportional to 2,760.80, 4,140 and 1,029.44

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Solution

The fourth proportional to 2,760.80, 4,140 and 1,029.44 is: 1,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.80 : 4,140 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    2,760.80/4,140 = 1,029.44/x
  3. Step 3: Cross multiply
    2,760.80x = 4,140 × 1,029.44
  4. Step 4: Simplify right side
    2,760.80x = 4,261,881.60
  5. Step 5: Solve for x
    x = 4,261,881.60/2,760.80
  6. Step 6: Final answer
    x = 1,543.71

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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.