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Finding the Fourth Proportional to 2,768.00, 4,170.64 and 2,469.56

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Solution

The fourth proportional to 2,768.00, 4,170.64 and 2,469.56 is: 3,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.00 : 4,170.64 = 2,469.56 : x
  2. Step 2: Convert to fraction form
    2,768.00/4,170.64 = 2,469.56/x
  3. Step 3: Cross multiply
    2,768.00x = 4,170.64 × 2,469.56
  4. Step 4: Simplify right side
    2,768.00x = 10,299,658.51
  5. Step 5: Solve for x
    x = 10,299,658.51/2,768.00
  6. Step 6: Final answer
    x = 3,720.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.