Home / 3,782.12-5,678.54-2,141.88

Finding the Fourth Proportional to 3,782.12, 5,678.54 and 2,141.88

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Solution

The fourth proportional to 3,782.12, 5,678.54 and 2,141.88 is: 3,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.12 : 5,678.54 = 2,141.88 : x
  2. Step 2: Convert to fraction form
    3,782.12/5,678.54 = 2,141.88/x
  3. Step 3: Cross multiply
    3,782.12x = 5,678.54 × 2,141.88
  4. Step 4: Simplify right side
    3,782.12x = 12,162,751.26
  5. Step 5: Solve for x
    x = 12,162,751.26/3,782.12
  6. Step 6: Final answer
    x = 3,215.86

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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.