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Finding the Fourth Proportional to 2,080.96, 3,121.44 and 782.53

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Solution

The fourth proportional to 2,080.96, 3,121.44 and 782.53 is: 1,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.96 : 3,121.44 = 782.53 : x
  2. Step 2: Convert to fraction form
    2,080.96/3,121.44 = 782.53/x
  3. Step 3: Cross multiply
    2,080.96x = 3,121.44 × 782.53
  4. Step 4: Simplify right side
    2,080.96x = 2,442,620.44
  5. Step 5: Solve for x
    x = 2,442,620.44/2,080.96
  6. Step 6: Final answer
    x = 1,173.80

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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.