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Finding the Fourth Proportional to 1,976.70, 2,727.87 and 1,080.47

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Solution

The fourth proportional to 1,976.70, 2,727.87 and 1,080.47 is: 1,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.70 : 2,727.87 = 1,080.47 : x
  2. Step 2: Convert to fraction form
    1,976.70/2,727.87 = 1,080.47/x
  3. Step 3: Cross multiply
    1,976.70x = 2,727.87 × 1,080.47
  4. Step 4: Simplify right side
    1,976.70x = 2,947,364.01
  5. Step 5: Solve for x
    x = 2,947,364.01/1,976.70
  6. Step 6: Final answer
    x = 1,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.