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Finding the Fourth Proportional to 3,469.90, 4,788.12 and 1,977.78

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Solution

The fourth proportional to 3,469.90, 4,788.12 and 1,977.78 is: 2,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.90 : 4,788.12 = 1,977.78 : x
  2. Step 2: Convert to fraction form
    3,469.90/4,788.12 = 1,977.78/x
  3. Step 3: Cross multiply
    3,469.90x = 4,788.12 × 1,977.78
  4. Step 4: Simplify right side
    3,469.90x = 9,469,847.97
  5. Step 5: Solve for x
    x = 9,469,847.97/3,469.90
  6. Step 6: Final answer
    x = 2,729.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.