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Finding the Fourth Proportional to 3,199.80, 4,778.07 and 2,767.80

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Solution

The fourth proportional to 3,199.80, 4,778.07 and 2,767.80 is: 4,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.80 : 4,778.07 = 2,767.80 : x
  2. Step 2: Convert to fraction form
    3,199.80/4,778.07 = 2,767.80/x
  3. Step 3: Cross multiply
    3,199.80x = 4,778.07 × 2,767.80
  4. Step 4: Simplify right side
    3,199.80x = 13,224,742.15
  5. Step 5: Solve for x
    x = 13,224,742.15/3,199.80
  6. Step 6: Final answer
    x = 4,132.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.