Home / 5,067-7,601.46-1,780.20

Finding the Fourth Proportional to 5,067, 7,601.46 and 1,780.20

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Solution

The fourth proportional to 5,067, 7,601.46 and 1,780.20 is: 2,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067 : 7,601.46 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    5,067/7,601.46 = 1,780.20/x
  3. Step 3: Cross multiply
    5,067x = 7,601.46 × 1,780.20
  4. Step 4: Simplify right side
    5,067x = 13,532,119.09
  5. Step 5: Solve for x
    x = 13,532,119.09/5,067
  6. Step 6: Final answer
    x = 2,670.64

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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.