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Finding the Fourth Proportional to 2,080.44, 3,120.81 and 781.89

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Solution

The fourth proportional to 2,080.44, 3,120.81 and 781.89 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.44 : 3,120.81 = 781.89 : x
  2. Step 2: Convert to fraction form
    2,080.44/3,120.81 = 781.89/x
  3. Step 3: Cross multiply
    2,080.44x = 3,120.81 × 781.89
  4. Step 4: Simplify right side
    2,080.44x = 2,440,130.13
  5. Step 5: Solve for x
    x = 2,440,130.13/2,080.44
  6. Step 6: Final answer
    x = 1,172.89

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1.5x scale

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.