Home / 2,282.38-3,423.38-1,405.00

Finding the Fourth Proportional to 2,282.38, 3,423.38 and 1,405.00

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Solution

The fourth proportional to 2,282.38, 3,423.38 and 1,405.00 is: 2,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.38 : 3,423.38 = 1,405.00 : x
  2. Step 2: Convert to fraction form
    2,282.38/3,423.38 = 1,405.00/x
  3. Step 3: Cross multiply
    2,282.38x = 3,423.38 × 1,405.00
  4. Step 4: Simplify right side
    2,282.38x = 4,809,843.85
  5. Step 5: Solve for x
    x = 4,809,843.85/2,282.38
  6. Step 6: Final answer
    x = 2,107.38

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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.