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Finding the Fourth Proportional to 4,786.92, 7,182 and 2,836.80

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Solution

The fourth proportional to 4,786.92, 7,182 and 2,836.80 is: 4,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.92 : 7,182 = 2,836.80 : x
  2. Step 2: Convert to fraction form
    4,786.92/7,182 = 2,836.80/x
  3. Step 3: Cross multiply
    4,786.92x = 7,182 × 2,836.80
  4. Step 4: Simplify right side
    4,786.92x = 20,373,897.60
  5. Step 5: Solve for x
    x = 20,373,897.60/4,786.92
  6. Step 6: Final answer
    x = 4,256.16

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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.