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Finding the Fourth Proportional to 3,965.22, 5,469.53 and 3,177.90

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Solution

The fourth proportional to 3,965.22, 5,469.53 and 3,177.90 is: 4,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.22 : 5,469.53 = 3,177.90 : x
  2. Step 2: Convert to fraction form
    3,965.22/5,469.53 = 3,177.90/x
  3. Step 3: Cross multiply
    3,965.22x = 5,469.53 × 3,177.90
  4. Step 4: Simplify right side
    3,965.22x = 17,381,603.50
  5. Step 5: Solve for x
    x = 17,381,603.50/3,965.22
  6. Step 6: Final answer
    x = 4,383.52

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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.