Home / 1,782.07-2,459.37-996.18

Finding the Fourth Proportional to 1,782.07, 2,459.37 and 996.18

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Solution

The fourth proportional to 1,782.07, 2,459.37 and 996.18 is: 1,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.07 : 2,459.37 = 996.18 : x
  2. Step 2: Convert to fraction form
    1,782.07/2,459.37 = 996.18/x
  3. Step 3: Cross multiply
    1,782.07x = 2,459.37 × 996.18
  4. Step 4: Simplify right side
    1,782.07x = 2,449,975.21
  5. Step 5: Solve for x
    x = 2,449,975.21/1,782.07
  6. Step 6: Final answer
    x = 1,374.79

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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.