Home / 1,828.58-2,740.90-789.07

Finding the Fourth Proportional to 1,828.58, 2,740.90 and 789.07

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Solution

The fourth proportional to 1,828.58, 2,740.90 and 789.07 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.58 : 2,740.90 = 789.07 : x
  2. Step 2: Convert to fraction form
    1,828.58/2,740.90 = 789.07/x
  3. Step 3: Cross multiply
    1,828.58x = 2,740.90 × 789.07
  4. Step 4: Simplify right side
    1,828.58x = 2,162,750.66
  5. Step 5: Solve for x
    x = 2,162,750.66/1,828.58
  6. Step 6: Final answer
    x = 1,182.75

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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.