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Finding the Fourth Proportional to 2,080.74, 3,119.90 and 781.50

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Solution

The fourth proportional to 2,080.74, 3,119.90 and 781.50 is: 1,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.74 : 3,119.90 = 781.50 : x
  2. Step 2: Convert to fraction form
    2,080.74/3,119.90 = 781.50/x
  3. Step 3: Cross multiply
    2,080.74x = 3,119.90 × 781.50
  4. Step 4: Simplify right side
    2,080.74x = 2,438,197.94
  5. Step 5: Solve for x
    x = 2,438,197.94/2,080.74
  6. Step 6: Final answer
    x = 1,171.79

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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.