Home / 2,542.72-3,814.08-1,966

Finding the Fourth Proportional to 2,542.72, 3,814.08 and 1,966

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Solution

The fourth proportional to 2,542.72, 3,814.08 and 1,966 is: 2,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.72 : 3,814.08 = 1,966 : x
  2. Step 2: Convert to fraction form
    2,542.72/3,814.08 = 1,966/x
  3. Step 3: Cross multiply
    2,542.72x = 3,814.08 × 1,966
  4. Step 4: Simplify right side
    2,542.72x = 7,498,481.28
  5. Step 5: Solve for x
    x = 7,498,481.28/2,542.72
  6. Step 6: Final answer
    x = 2,949.00

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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.