Home / 2,465.75-3,698.82-822.66

Finding the Fourth Proportional to 2,465.75, 3,698.82 and 822.66

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Solution

The fourth proportional to 2,465.75, 3,698.82 and 822.66 is: 1,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.75 : 3,698.82 = 822.66 : x
  2. Step 2: Convert to fraction form
    2,465.75/3,698.82 = 822.66/x
  3. Step 3: Cross multiply
    2,465.75x = 3,698.82 × 822.66
  4. Step 4: Simplify right side
    2,465.75x = 3,042,871.26
  5. Step 5: Solve for x
    x = 3,042,871.26/2,465.75
  6. Step 6: Final answer
    x = 1,234.06

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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.