Home / 5,067.72-7,602.30-1,989

Finding the Fourth Proportional to 5,067.72, 7,602.30 and 1,989

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Solution

The fourth proportional to 5,067.72, 7,602.30 and 1,989 is: 2,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.72 : 7,602.30 = 1,989 : x
  2. Step 2: Convert to fraction form
    5,067.72/7,602.30 = 1,989/x
  3. Step 3: Cross multiply
    5,067.72x = 7,602.30 × 1,989
  4. Step 4: Simplify right side
    5,067.72x = 15,120,974.70
  5. Step 5: Solve for x
    x = 15,120,974.70/5,067.72
  6. Step 6: Final answer
    x = 2,983.78

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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.