Home / 2,176.24-3,263.51-789.16

Finding the Fourth Proportional to 2,176.24, 3,263.51 and 789.16

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Solution

The fourth proportional to 2,176.24, 3,263.51 and 789.16 is: 1,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.24 : 3,263.51 = 789.16 : x
  2. Step 2: Convert to fraction form
    2,176.24/3,263.51 = 789.16/x
  3. Step 3: Cross multiply
    2,176.24x = 3,263.51 × 789.16
  4. Step 4: Simplify right side
    2,176.24x = 2,575,431.55
  5. Step 5: Solve for x
    x = 2,575,431.55/2,176.24
  6. Step 6: Final answer
    x = 1,183.43

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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.