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Finding the Fourth Proportional to 2,732.80, 4,092.80 and 1,862.40

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Solution

The fourth proportional to 2,732.80, 4,092.80 and 1,862.40 is: 2,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.80 : 4,092.80 = 1,862.40 : x
  2. Step 2: Convert to fraction form
    2,732.80/4,092.80 = 1,862.40/x
  3. Step 3: Cross multiply
    2,732.80x = 4,092.80 × 1,862.40
  4. Step 4: Simplify right side
    2,732.80x = 7,622,430.72
  5. Step 5: Solve for x
    x = 7,622,430.72/2,732.80
  6. Step 6: Final answer
    x = 2,789.24

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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.