Home / 2,742-4,107.75-1,814.82

Finding the Fourth Proportional to 2,742, 4,107.75 and 1,814.82

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Solution

The fourth proportional to 2,742, 4,107.75 and 1,814.82 is: 2,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742 : 4,107.75 = 1,814.82 : x
  2. Step 2: Convert to fraction form
    2,742/4,107.75 = 1,814.82/x
  3. Step 3: Cross multiply
    2,742x = 4,107.75 × 1,814.82
  4. Step 4: Simplify right side
    2,742x = 7,454,826.86
  5. Step 5: Solve for x
    x = 7,454,826.86/2,742
  6. Step 6: Final answer
    x = 2,718.76

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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.