Home / 2,162-2,983.65-1,278.56

Finding the Fourth Proportional to 2,162, 2,983.65 and 1,278.56

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Solution

The fourth proportional to 2,162, 2,983.65 and 1,278.56 is: 1,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162 : 2,983.65 = 1,278.56 : x
  2. Step 2: Convert to fraction form
    2,162/2,983.65 = 1,278.56/x
  3. Step 3: Cross multiply
    2,162x = 2,983.65 × 1,278.56
  4. Step 4: Simplify right side
    2,162x = 3,814,775.54
  5. Step 5: Solve for x
    x = 3,814,775.54/2,162
  6. Step 6: Final answer
    x = 1,764.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.