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Finding the Fourth Proportional to 5,176.40, 7,764.60 and 2,843.60

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Solution

The fourth proportional to 5,176.40, 7,764.60 and 2,843.60 is: 4,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.40 : 7,764.60 = 2,843.60 : x
  2. Step 2: Convert to fraction form
    5,176.40/7,764.60 = 2,843.60/x
  3. Step 3: Cross multiply
    5,176.40x = 7,764.60 × 2,843.60
  4. Step 4: Simplify right side
    5,176.40x = 22,079,416.56
  5. Step 5: Solve for x
    x = 22,079,416.56/5,176.40
  6. Step 6: Final answer
    x = 4,265.40

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1.5x scale

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.