Home / 5,450-8,176.28-1,802

Finding the Fourth Proportional to 5,450, 8,176.28 and 1,802

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Solution

The fourth proportional to 5,450, 8,176.28 and 1,802 is: 2,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450 : 8,176.28 = 1,802 : x
  2. Step 2: Convert to fraction form
    5,450/8,176.28 = 1,802/x
  3. Step 3: Cross multiply
    5,450x = 8,176.28 × 1,802
  4. Step 4: Simplify right side
    5,450x = 14,733,656.56
  5. Step 5: Solve for x
    x = 14,733,656.56/5,450
  6. Step 6: Final answer
    x = 2,703.42

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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.