Home / 3,918-5,406.84-2,262.96

Finding the Fourth Proportional to 3,918, 5,406.84 and 2,262.96

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Solution

The fourth proportional to 3,918, 5,406.84 and 2,262.96 is: 3,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918 : 5,406.84 = 2,262.96 : x
  2. Step 2: Convert to fraction form
    3,918/5,406.84 = 2,262.96/x
  3. Step 3: Cross multiply
    3,918x = 5,406.84 × 2,262.96
  4. Step 4: Simplify right side
    3,918x = 12,235,462.65
  5. Step 5: Solve for x
    x = 12,235,462.65/3,918
  6. Step 6: Final answer
    x = 3,122.88

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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.