Home / 1,387.14-2,077.44-727.44

Finding the Fourth Proportional to 1,387.14, 2,077.44 and 727.44

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Solution

The fourth proportional to 1,387.14, 2,077.44 and 727.44 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.14 : 2,077.44 = 727.44 : x
  2. Step 2: Convert to fraction form
    1,387.14/2,077.44 = 727.44/x
  3. Step 3: Cross multiply
    1,387.14x = 2,077.44 × 727.44
  4. Step 4: Simplify right side
    1,387.14x = 1,511,218.15
  5. Step 5: Solve for x
    x = 1,511,218.15/1,387.14
  6. Step 6: Final answer
    x = 1,089.45

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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.