Home / 1,823.39-2,732.24-727.25

Finding the Fourth Proportional to 1,823.39, 2,732.24 and 727.25

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Solution

The fourth proportional to 1,823.39, 2,732.24 and 727.25 is: 1,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.39 : 2,732.24 = 727.25 : x
  2. Step 2: Convert to fraction form
    1,823.39/2,732.24 = 727.25/x
  3. Step 3: Cross multiply
    1,823.39x = 2,732.24 × 727.25
  4. Step 4: Simplify right side
    1,823.39x = 1,987,030.19
  5. Step 5: Solve for x
    x = 1,987,030.19/1,823.39
  6. Step 6: Final answer
    x = 1,089.75

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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.