Home / 2,764.36-3,815.82-2,206

Finding the Fourth Proportional to 2,764.36, 3,815.82 and 2,206

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Solution

The fourth proportional to 2,764.36, 3,815.82 and 2,206 is: 3,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.36 : 3,815.82 = 2,206 : x
  2. Step 2: Convert to fraction form
    2,764.36/3,815.82 = 2,206/x
  3. Step 3: Cross multiply
    2,764.36x = 3,815.82 × 2,206
  4. Step 4: Simplify right side
    2,764.36x = 8,417,698.92
  5. Step 5: Solve for x
    x = 8,417,698.92/2,764.36
  6. Step 6: Final answer
    x = 3,045.08

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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.