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Finding the Fourth Proportional to 2,080.37, 3,121.64 and 782.75

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Solution

The fourth proportional to 2,080.37, 3,121.64 and 782.75 is: 1,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.37 : 3,121.64 = 782.75 : x
  2. Step 2: Convert to fraction form
    2,080.37/3,121.64 = 782.75/x
  3. Step 3: Cross multiply
    2,080.37x = 3,121.64 × 782.75
  4. Step 4: Simplify right side
    2,080.37x = 2,443,463.71
  5. Step 5: Solve for x
    x = 2,443,463.71/2,080.37
  6. Step 6: Final answer
    x = 1,174.53

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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.