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Finding the Fourth Proportional to 2,080.44, 3,121.20 and 782.02

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Solution

The fourth proportional to 2,080.44, 3,121.20 and 782.02 is: 1,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.44 : 3,121.20 = 782.02 : x
  2. Step 2: Convert to fraction form
    2,080.44/3,121.20 = 782.02/x
  3. Step 3: Cross multiply
    2,080.44x = 3,121.20 × 782.02
  4. Step 4: Simplify right side
    2,080.44x = 2,440,840.82
  5. Step 5: Solve for x
    x = 2,440,840.82/2,080.44
  6. Step 6: Final answer
    x = 1,173.23

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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.