Home / 1,727.28-2,589.48-1,205.78

Finding the Fourth Proportional to 1,727.28, 2,589.48 and 1,205.78

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Solution

The fourth proportional to 1,727.28, 2,589.48 and 1,205.78 is: 1,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.28 : 2,589.48 = 1,205.78 : x
  2. Step 2: Convert to fraction form
    1,727.28/2,589.48 = 1,205.78/x
  3. Step 3: Cross multiply
    1,727.28x = 2,589.48 × 1,205.78
  4. Step 4: Simplify right side
    1,727.28x = 3,122,330.25
  5. Step 5: Solve for x
    x = 3,122,330.25/1,727.28
  6. Step 6: Final answer
    x = 1,807.66

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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.