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Finding the Fourth Proportional to 3,176.80, 4,361.72 and 2,582.80

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Solution

The fourth proportional to 3,176.80, 4,361.72 and 2,582.80 is: 3,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.80 : 4,361.72 = 2,582.80 : x
  2. Step 2: Convert to fraction form
    3,176.80/4,361.72 = 2,582.80/x
  3. Step 3: Cross multiply
    3,176.80x = 4,361.72 × 2,582.80
  4. Step 4: Simplify right side
    3,176.80x = 11,265,450.42
  5. Step 5: Solve for x
    x = 11,265,450.42/3,176.80
  6. Step 6: Final answer
    x = 3,546.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.