Home / 1,420.31-2,131.68-727.76

Finding the Fourth Proportional to 1,420.31, 2,131.68 and 727.76

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Solution

The fourth proportional to 1,420.31, 2,131.68 and 727.76 is: 1,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.31 : 2,131.68 = 727.76 : x
  2. Step 2: Convert to fraction form
    1,420.31/2,131.68 = 727.76/x
  3. Step 3: Cross multiply
    1,420.31x = 2,131.68 × 727.76
  4. Step 4: Simplify right side
    1,420.31x = 1,551,351.44
  5. Step 5: Solve for x
    x = 1,551,351.44/1,420.31
  6. Step 6: Final answer
    x = 1,092.26

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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.