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Finding the Fourth Proportional to 5,687.60, 8,530.80 and 1,791.80

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Solution

The fourth proportional to 5,687.60, 8,530.80 and 1,791.80 is: 2,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.60 : 8,530.80 = 1,791.80 : x
  2. Step 2: Convert to fraction form
    5,687.60/8,530.80 = 1,791.80/x
  3. Step 3: Cross multiply
    5,687.60x = 8,530.80 × 1,791.80
  4. Step 4: Simplify right side
    5,687.60x = 15,285,487.44
  5. Step 5: Solve for x
    x = 15,285,487.44/5,687.60
  6. Step 6: Final answer
    x = 2,687.51

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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.